cos2 (problem 3.4.1)

Time bar (total: 13.9s)

analyze2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.7s (11.9%)

Memory
2.8MiB live, 2 359.0MiB allocated
Samples
623.0ms2 209×2valid
417.0ms4 190×0valid
245.0ms622×3valid
124.0ms1 235×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 743.0ms (66.6% of total)
ival-div: 95.0ms (8.5% of total)
ival-sub: 93.0ms (8.3% of total)
ival-mult: 88.0ms (7.9% of total)
adjust: 78.0ms (7% of total)
exact: 10.0ms (0.9% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess60.0ms (0.4%)

Memory
17.8MiB live, 91.4MiB allocated
Algorithm
egg-herbie
Rules
408×accelerator-lowering-fma.f32
408×accelerator-lowering-fma.f64
322×times-frac
284×times-frac
272×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
13825
211024
330424
477224
5123224
6134224
7135824
068
1158
2268
3428
4788
51278
61848
73198
86188
910158
1011308
011308
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (- 1 (cos x)) (* x x))
Outputs
(/ (- 1 (cos x)) (* x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Call 2
Inputs
(/ (- 1 (cos x)) (* x x))
(/ (- 1 (cos (neg x))) (* (neg x) (neg x)))
(neg (/ (- 1 (cos (neg x))) (* (neg x) (neg x))))
Outputs
(/ (- 1 (cos x)) (* x x))
(/ (- 1 (cos (neg x))) (* (neg x) (neg x)))
(/ (- 1 (cos x)) (* x x))
(neg (/ (- 1 (cos (neg x))) (* (neg x) (neg x))))
(/ (+ (cos x) -1) (* x x))
Symmetry

(abs x)

explain218.0ms (1.6%)

Memory
5.6MiB live, 309.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
771(9.501631862207213e+160)0-(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
561(4.2032684010222723e+297)0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/u730
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow74
(*.f64 x x)underflow73
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation575
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))n/o40
(*.f64 x x)overflow71
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/n10
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow74
Confusion
Predicted +Predicted -
+1290
-6121
Precision
0.9555555555555556
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12900
-65116
Precision?
0.9214285714285714
Recall?
1.0
Freqs
test
numberfreq
0121
1135
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
69.0ms144×2valid
41.0ms62×1valid
38.0ms262×0valid
17.0ms44×3valid
Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-div: 70.0ms (52.9% of total)
ival-cos: 46.0ms (34.8% of total)
ival-sub: 7.0ms (5.3% of total)
adjust: 4.0ms (3% of total)
ival-mult: 4.0ms (3% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify41.0ms (0.3%)

Memory
6.6MiB live, 42.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Rules
408×accelerator-lowering-fma.f32
408×accelerator-lowering-fma.f64
284×times-frac
272×*-lowering-*.f32
272×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
11519
22619
34219
47819
512719
618419
731919
861819
9101519
10113019
0113019
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- 1 (cos x)) (* x x))
(- 1 (cos x))
1
(cos x)
x
(* x x)
Outputs
(/ (- 1 (cos x)) (* x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(* x x)
(*.f64 x x)

localize77.0ms (0.6%)

Memory
-19.5MiB live, 105.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(cos.f64 x)
accuracy80.5%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy71.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Samples
30.0ms22×3valid
22.0ms72×2valid
13.0ms131×0valid
3.0ms31×1valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-cos: 44.0ms (74.3% of total)
ival-sub: 5.0ms (8.4% of total)
ival-mult: 4.0ms (6.8% of total)
ival-div: 3.0ms (5.1% of total)
adjust: 2.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/ (- 1 (cos x)) (* x x))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (* x x)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<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)>
Calls

12 calls:

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

rewrite413.0ms (3%)

Memory
18.5MiB live, 909.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 736×/-lowering-/.f32
4 736×/-lowering-/.f64
3 980×accelerator-lowering-fma.f32
3 980×accelerator-lowering-fma.f64
3 064×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
13617
226417
3280017
0964317
Stop Event
iter limit
node limit
Counts
4 → 629
Calls
Call 1
Inputs
(/ (- 1 (cos x)) (* x x))
(- 1 (cos x))
(cos x)
(* x x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))) (/.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))))
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 x (/.f64 x #s(literal 1 binary64)))
(*.f64 x (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) x)
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)

simplify513.0ms (3.7%)

Memory
-0.9MiB live, 829.4MiB allocated
Algorithm
egg-herbie
Rules
16 752×accelerator-lowering-fma.f32
16 752×accelerator-lowering-fma.f64
3 896×*-lowering-*.f32
3 896×*-lowering-*.f64
1 568×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042284
1105284
2258284
3609284
41279284
52001284
62304284
73158284
84639284
96288284
107157284
117373284
127391284
137393284
147798284
08007266
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(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)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval172.0ms (1.2%)

Memory
-39.7MiB live, 250.4MiB allocated
Compiler

Compiled 16 522 to 1 650 computations (90% saved)

prune108.0ms (0.8%)

Memory
25.1MiB live, 220.5MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New66413677
Fresh000
Picked011
Done000
Total66414678
Accuracy
100.0%
Counts
678 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x))
33.3%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
52.4%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
45.1%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
51.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
29.1%
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
70.5%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
51.0%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
51.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
51.0%
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
52.4%
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
71.4%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
51.0%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
50.9%
#s(literal 1/2 binary64)
Compiler

Compiled 297 to 190 computations (36% saved)

simplify130.0ms (0.9%)

Memory
7.2MiB live, 83.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (cos.f64 x) x)
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff128
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
cost-diff256
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
cost-diff0
(cos.f64 x)
cost-diff0
(+.f64 (cos.f64 x) #s(literal -1 binary64))
cost-diff0
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
cost-diff128
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x))
cost-diff0
(+.f64 (cos.f64 x) #s(literal -1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff128
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) (*.f64 x x))
cost-diff0
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Rules
824×accelerator-lowering-fma.f32
824×accelerator-lowering-fma.f64
704×times-frac
688×*-lowering-*.f32
688×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023120
154117
2144114
3306114
4800114
51408114
61946114
72180114
82378114
92465114
102481114
112481114
122481114
02481114
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ (sin x) (* x x)) (tan (/ x 2)))
(/ (sin x) (* x x))
(sin x)
x
(* x x)
(tan (/ x 2))
(/ x 2)
2
1/2
(* (/ -1 (* x x)) (+ (cos x) -1))
(/ -1 (* x x))
-1
(* x x)
x
(+ (cos x) -1)
(cos x)
(/ (/ (+ (cos x) -1) x) (- 0 x))
(/ (+ (cos x) -1) x)
(+ (cos x) -1)
(cos x)
x
-1
(- 0 x)
0
(/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x))
(- (/ -1 x) (neg (/ (cos x) x)))
(/ -1 x)
-1
x
(neg (/ (cos x) x))
(/ (cos x) x)
(cos x)
(- 0 x)
0
Outputs
(* (/ (sin x) (* x x)) (tan (/ x 2)))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x)
(/ (sin x) (* x x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(sin x)
(sin.f64 x)
x
(* x x)
(*.f64 x x)
(tan (/ x 2))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(* (/ -1 (* x x)) (+ (cos x) -1))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ -1 (* x x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
-1
#s(literal -1 binary64)
(* x x)
(*.f64 x x)
x
(+ (cos x) -1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (/ (+ (cos x) -1) x) (- 0 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ (cos x) -1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(+ (cos x) -1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
x
-1
#s(literal -1 binary64)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
(/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(- (/ -1 x) (neg (/ (cos x) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(neg (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(cos x)
(cos.f64 x)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)

localize223.0ms (1.6%)

Memory
-24.0MiB live, 304.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 x)
accuracy99.9%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
accuracy99.8%
(/.f64 (cos.f64 x) x)
accuracy53.1%
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
accuracy100.0%
(cos.f64 x)
accuracy99.9%
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x))
accuracy80.5%
(+.f64 (cos.f64 x) #s(literal -1 binary64))
accuracy72.9%
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
accuracy100.0%
(cos.f64 x)
accuracy99.3%
(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy80.5%
(+.f64 (cos.f64 x) #s(literal -1 binary64))
accuracy71.7%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
accuracy100.0%
(sin.f64 x)
accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy99.7%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy72.5%
(/.f64 (sin.f64 x) (*.f64 x x))
Samples
72.0ms54×1valid
52.0ms71×2valid
36.0ms131×0valid
Compiler

Compiled 130 to 25 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-cos: 61.0ms (44.7% of total)
ival-div: 42.0ms (30.8% of total)
ival-sin: 8.0ms (5.9% of total)
ival-mult: 7.0ms (5.1% of total)
ival-tan: 6.0ms (4.4% of total)
adjust: 5.0ms (3.7% of total)
ival-sub: 3.0ms (2.2% of total)
ival-neg: 2.0ms (1.5% of total)
ival-add: 2.0ms (1.5% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
-15.5MiB live, 24.4MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (* (/ (sin x) (* x x)) (tan (/ x 2)))>
#<alt (/ (sin x) (* x x))>
#<alt (sin x)>
#<alt (* x x)>
#<alt (* (/ -1 (* x x)) (+ (cos x) -1))>
#<alt (/ -1 (* x x))>
#<alt (+ (cos x) -1)>
#<alt (/ (/ (+ (cos x) -1) x) (- 0 x))>
#<alt (/ (+ (cos x) -1) x)>
#<alt (cos x)>
#<alt (- (/ -1 x) (neg (/ (cos x) x)))>
#<alt (/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x))>
#<alt (/ -1 x)>
#<alt (/ (cos x) x)>
#<alt (tan (/ x 2))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<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 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<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 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
Calls

45 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x))
1.0ms
x
@inf
(* (/ (sin x) (* x x)) (tan (/ x 2)))
1.0ms
x
@0
(/ -1 (* x x))
1.0ms
x
@-inf
(* (/ (sin x) (* x x)) (tan (/ x 2)))
1.0ms
x
@-inf
(- (/ -1 x) (neg (/ (cos x) x)))

rewrite376.0ms (2.7%)

Memory
36.9MiB live, 706.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 560×/-lowering-/.f32
4 560×/-lowering-/.f64
3 450×accelerator-lowering-fma.f32
3 450×accelerator-lowering-fma.f64
3 320×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02291
114584
2127282
0894882
Stop Event
iter limit
node limit
Counts
15 → 1 249
Calls
Call 1
Inputs
(* (/ (sin x) (* x x)) (tan (/ x 2)))
(/ (sin x) (* x x))
(sin x)
(* x x)
(* (/ -1 (* x x)) (+ (cos x) -1))
(/ -1 (* x x))
(+ (cos x) -1)
(/ (/ (+ (cos x) -1) x) (- 0 x))
(/ (+ (cos x) -1) x)
(cos x)
(- (/ -1 x) (neg (/ (cos x) x)))
(/ (- (/ -1 x) (neg (/ (cos x) x))) (- 0 x))
(/ -1 x)
(/ (cos x) x)
(tan (/ x 2))
Outputs
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
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(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64))) (+.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))))
(/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x)) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)))
(/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))))

simplify573.0ms (4.1%)

Memory
-7.2MiB live, 900.2MiB allocated
Algorithm
egg-herbie
Rules
15 248×accelerator-lowering-fma.f32
15 248×accelerator-lowering-fma.f64
3 848×+-lowering-+.f64
3 848×+-lowering-+.f32
3 812×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121330
12721306
26661300
319991300
437701300
555291300
674061300
081421228
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(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)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ -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 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) x)
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/40320 binary64)))))))))))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/40320 binary64))))))))))
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/40320 binary64))))))))))
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x 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 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64))))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))

eval305.0ms (2.2%)

Memory
-3.9MiB live, 358.4MiB allocated
Compiler

Compiled 32 537 to 2 944 computations (91% saved)

prune338.0ms (2.4%)

Memory
24.9MiB live, 414.3MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1 584111 595
Fresh448
Picked325
Done011
Total1 591181 609
Accuracy
100.0%
Counts
1 609 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
52.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
22.5%
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x))
52.4%
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))
52.4%
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) x))))
52.4%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x))
52.4%
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
45.1%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
51.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
29.1%
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
52.4%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)
51.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
99.7%
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
52.4%
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
45.1%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
51.0%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
21.1%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
50.9%
#s(literal 1/2 binary64)
Compiler

Compiled 410 to 261 computations (36.3% saved)

simplify299.0ms (2.2%)

Memory
-22.5MiB live, 349.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
cost-diff0
(*.f64 x (cos.f64 x))
cost-diff0
(-.f64 x (*.f64 x (cos.f64 x)))
cost-diff256
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
cost-diff0
(+.f64 #s(literal -1 binary64) (cos.f64 x))
cost-diff0
(/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x)))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff128
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
cost-diff0
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
cost-diff0
(*.f64 x x)
cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff256
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) x)
cost-diff0
(/.f64 (/.f64 (sin.f64 x) x) x)
cost-diff0
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Rules
3 108×accelerator-lowering-fma.f32
3 108×accelerator-lowering-fma.f64
2 786×*-lowering-*.f32
2 786×*-lowering-*.f64
2 186×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026113
158113
2125113
3259113
4488113
51334113
62354113
73198113
83976113
94419113
104582113
115647113
126384113
136531113
146724113
156927113
167058113
177538113
187880113
08384113
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (/ (sin x) x) x) (tan (/ x 2)))
(/ (/ (sin x) x) x)
(/ (sin x) x)
(sin x)
x
(tan (/ x 2))
(/ x 2)
2
(/ (- 1 1) (* x x))
(- 1 1)
1
(* x x)
x
(/ (/ (- 1 (cos x)) x) x)
(/ (- 1 (cos x)) x)
(- 1 (cos x))
1
(cos x)
x
(/ (/ -1 x) (/ x (+ -1 (cos x))))
(/ -1 x)
-1
x
(/ x (+ -1 (cos x)))
(+ -1 (cos x))
(cos x)
(/ (- x (* x (cos x))) (* x (* x x)))
(- x (* x (cos x)))
x
(* x (cos x))
(cos x)
(* x (* x x))
(* x x)
Outputs
(* (/ (/ (sin x) x) x) (tan (/ x 2)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(/ (/ (sin x) x) x)
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
x
(tan (/ x 2))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (- 1 1) (* x x))
#s(literal 0 binary64)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(/ (/ (- 1 (cos x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(/ (/ -1 x) (/ x (+ -1 (cos x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(/ x (+ -1 (cos x)))
(/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(+ -1 (cos x))
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(cos x)
(cos.f64 x)
(/ (- x (* x (cos x))) (* x (* x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(- x (* x (cos x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(* x (cos x))
(*.f64 x (cos.f64 x))
(cos x)
(cos.f64 x)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)

localize96.0ms (0.7%)

Memory
10.4MiB live, 205.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 x (cos.f64 x))
accuracy99.3%
(-.f64 x (*.f64 x (cos.f64 x)))
accuracy93.7%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
accuracy100.0%
(cos.f64 x)
accuracy99.9%
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))
accuracy99.8%
(/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x)))
accuracy99.4%
(+.f64 #s(literal -1 binary64) (cos.f64 x))
accuracy100.0%
(cos.f64 x)
accuracy99.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
accuracy99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy99.4%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy99.9%
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy99.9%
(/.f64 (/.f64 (sin.f64 x) x) x)
accuracy99.8%
(/.f64 (sin.f64 x) x)
Samples
35.0ms131×0valid
28.0ms125×1exit
Compiler

Compiled 131 to 27 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 14.0ms (30.7% of total)
ival-sin: 7.0ms (15.4% of total)
ival-mult: 6.0ms (13.2% of total)
ival-tan: 5.0ms (11% of total)
ival-cos: 5.0ms (11% of total)
adjust: 3.0ms (6.6% of total)
ival-sub: 3.0ms (6.6% of total)
ival-add: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-12.8MiB live, 25.6MiB allocated
Counts
20 → 228
Calls
Call 1
Inputs
#<alt (* (/ (/ (sin x) x) x) (tan (/ x 2)))>
#<alt (/ (/ (sin x) x) x)>
#<alt (/ (sin x) x)>
#<alt (sin x)>
#<alt (/ (- 1 1) (* x x))>
#<alt (- 1 1)>
#<alt (* x x)>
#<alt (/ (/ (- 1 (cos x)) x) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (/ (/ -1 x) (/ x (+ -1 (cos x))))>
#<alt (/ -1 x)>
#<alt (/ x (+ -1 (cos x)))>
#<alt (+ -1 (cos x))>
#<alt (/ (- x (* x (cos x))) (* x (* x x)))>
#<alt (- x (* x (cos x)))>
#<alt (* x (cos x))>
#<alt (tan (/ x 2))>
#<alt (* x (* x x))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<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 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<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 (/ -2 x)>
#<alt (/ (- (* -1/6 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x)>
#<alt (/ x (- (cos x) 1))>
#<alt (/ x (- (cos x) 1))>
#<alt (/ x (- (cos x) 1))>
#<alt (/ x (- (cos x) 1))>
#<alt (/ x (- (cos x) 1))>
#<alt (/ x (- (cos x) 1))>
#<alt (/ x (- (cos x) 1))>
#<alt (/ x (- (cos x) 1))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<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)>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ (- x (* x (cos x))) (* x (* x x)))
1.0ms
x
@inf
(/ (- x (* x (cos x))) (* x (* x x)))
1.0ms
x
@-inf
(/ (- 1 (cos x)) x)
1.0ms
x
@-inf
(/ (sin x) x)
0.0ms
x
@-inf
(/ x (+ -1 (cos x)))

rewrite484.0ms (3.5%)

Memory
27.9MiB live, 948.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 696×*-lowering-*.f32
4 696×*-lowering-*.f64
4 330×/-lowering-/.f32
4 330×/-lowering-/.f64
3 874×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02694
115394
2111194
0885394
Stop Event
iter limit
node limit
Counts
20 → 1 791
Calls
Call 1
Inputs
(* (/ (/ (sin x) x) x) (tan (/ x 2)))
(/ (/ (sin x) x) x)
(/ (sin x) x)
(sin x)
(/ (- 1 1) (* x x))
(- 1 1)
(* x x)
(/ (/ (- 1 (cos x)) x) x)
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(cos x)
(/ (/ -1 x) (/ x (+ -1 (cos x))))
(/ -1 x)
(/ x (+ -1 (cos x)))
(+ -1 (cos x))
(/ (- x (* x (cos x))) (* x (* x x)))
(- x (* x (cos x)))
(* x (cos x))
(tan (/ x 2))
(* x (* x x))
Outputs
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sin.f64 x) x) x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sin.f64 x) x) x))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))) x))
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (/.f64 (sin.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (/.f64 (sin.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) x)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (/.f64 (sin.f64 x) x))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 x (sin.f64 x)))
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (/.f64 (sin.f64 x) x)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) x))))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
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(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x (-.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (*.f64 x (-.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x (*.f64 x (cos.f64 x)))) #s(literal 3 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x (*.f64 x (cos.f64 x)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x (*.f64 x (cos.f64 x)))) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x (*.f64 x (cos.f64 x))))))
(*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x))))
(*.f64 x (cos.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 x)))
(*.f64 (cos.f64 x) x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x))))
(*.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)

simplify568.0ms (4.1%)

Memory
4.2MiB live, 839.9MiB allocated
Algorithm
egg-herbie
Rules
14 578×accelerator-lowering-fma.f32
14 578×accelerator-lowering-fma.f64
4 992×*-lowering-*.f32
4 992×*-lowering-*.f64
3 302×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431556
13971544
29541544
327991538
439591538
567691538
082251448
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
0
0
0
0
0
0
0
0
0
0
0
0
(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)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -2 x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x)
(/ x (- (cos x) 1))
(/ x (- (cos x) 1))
(/ x (- (cos x) 1))
(/ x (- (cos x) 1))
(/ x (- (cos x) 1))
(/ x (- (cos x) 1))
(/ x (- (cos x) 1))
(/ x (- (cos x) 1))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(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)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) x)
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
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(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))

eval430.0ms (3.1%)

Memory
4.4MiB live, 475.8MiB allocated
Compiler

Compiled 44 047 to 3 061 computations (93.1% saved)

prune873.0ms (6.3%)

Memory
-11.7MiB live, 264.7MiB allocated
Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New2 07662 082
Fresh6410
Picked145
Done033
Total2 083172 100
Accuracy
100.0%
Counts
2 100 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x)
51.0%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
52.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
22.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x)
52.4%
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))
79.8%
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
52.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
52.4%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x))
45.1%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
51.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
51.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
99.7%
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
52.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
45.1%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
51.0%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
50.9%
#s(literal 1/2 binary64)
30.0%
#s(literal 0 binary64)
Compiler

Compiled 321 to 205 computations (36.1% saved)

simplify85.0ms (0.6%)

Memory
24.2MiB live, 99.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff128
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x))
cost-diff256
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x))))
cost-diff0
(/.f64 (/.f64 (cos.f64 x) x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff256
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
cost-diff128
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff128
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
Rules
824×accelerator-lowering-fma.f32
824×accelerator-lowering-fma.f64
592×*-lowering-*.f32
592×*-lowering-*.f64
542×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026131
152123
2106123
3260121
4705120
51758118
62406118
72647118
82750118
92764118
102768118
112773118
02773116
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (/ -1 x) (+ (/ -2 x) (* x -1/6)))
(/ -1 x)
-1
x
(+ (/ -2 x) (* x -1/6))
(/ -2 x)
-2
(* x -1/6)
-1/6
0
(* (/ (- 1 (cos x)) x) (/ 1 x))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
1
(cos x)
x
(/ 1 x)
(- (/ 1 (* x x)) (/ (/ (cos x) x) x))
(/ 1 (* x x))
1
(* x x)
x
(/ (/ (cos x) x) x)
(/ (cos x) x)
(cos x)
(/ (- (/ -1 x) (/ -1 (/ x (cos x)))) (- 0 x))
(- (/ -1 x) (/ -1 (/ x (cos x))))
(/ -1 x)
-1
x
(/ -1 (/ x (cos x)))
(/ x (cos x))
(cos x)
(- 0 x)
0
Outputs
(/ (/ -1 x) (+ (/ -2 x) (* x -1/6)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(+ (/ -2 x) (* x -1/6))
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
0
#s(literal 0 binary64)
(* (/ (- 1 (cos x)) x) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(- (/ 1 (* x x)) (/ (/ (cos x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(/ (/ (cos x) x) x)
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(cos x)
(cos.f64 x)
(/ (- (/ -1 x) (/ -1 (/ x (cos x)))) (- 0 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(- (/ -1 x) (/ -1 (/ x (cos x))))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(/ -1 (/ x (cos x)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x)
(/ x (cos x))
(/.f64 x (cos.f64 x))
(cos x)
(cos.f64 x)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)

localize179.0ms (1.3%)

Memory
-17.9MiB live, 316.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x))
accuracy99.8%
(/.f64 x (cos.f64 x))
accuracy99.8%
(/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))
accuracy53.1%
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x))))
accuracy99.8%
(/.f64 (cos.f64 x) x)
accuracy99.8%
(/.f64 (/.f64 (cos.f64 x) x) x)
accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy52.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
accuracy100.0%
(cos.f64 x)
accuracy99.7%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
accuracy80.5%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy72.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy100.0%
(/.f64 #s(literal -2 binary64) x)
accuracy100.0%
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
accuracy99.8%
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
Samples
82.0ms71×2valid
30.0ms131×0valid
28.0ms54×1valid
Compiler

Compiled 140 to 28 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-cos: 47.0ms (40.6% of total)
ival-div: 33.0ms (28.5% of total)
adjust: 15.0ms (12.9% of total)
ival-sub: 7.0ms (6% of total)
ival-mult: 6.0ms (5.2% of total)
const: 4.0ms (3.5% of total)
ival-add: 2.0ms (1.7% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-20.5MiB live, 19.0MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt (/ (/ -1 x) (+ (/ -2 x) (* x -1/6)))>
#<alt (/ -1 x)>
#<alt (+ (/ -2 x) (* x -1/6))>
#<alt (/ -2 x)>
#<alt (* (/ (- 1 (cos x)) x) (/ 1 x))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (- (/ 1 (* x x)) (/ (/ (cos x) x) x))>
#<alt (/ 1 (* x x))>
#<alt (* x x)>
#<alt (/ (/ (cos x) x) x)>
#<alt (- (/ -1 x) (/ -1 (/ x (cos x))))>
#<alt (/ (- (/ -1 x) (/ -1 (/ x (cos x)))) (- 0 x))>
#<alt (/ -1 (/ x (cos x)))>
#<alt (* x -1/6)>
#<alt (/ (cos x) x)>
#<alt (/ x (cos x))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))>
#<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 (/ -2 x)>
#<alt (/ (- (* -1/6 (pow x 2)) 2) x)>
#<alt (/ (- (* -1/6 (pow x 2)) 2) x)>
#<alt (/ (- (* -1/6 (pow x 2)) 2) x)>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 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 (pow x 2))>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (- 1 (cos x)) x))>
#<alt (* -1 (/ (- 1 (cos x)) x))>
#<alt (* -1 (/ (- 1 (cos x)) x))>
#<alt (* -1 (/ (- 1 (cos x)) x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ -1 x)>
#<alt (/ (- (* 1/2 (pow x 2)) 1) x)>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2))))))))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
Calls

54 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (- (/ -1 x) (/ -1 (/ x (cos x)))) (- 0 x))
0.0ms
x
@-inf
(/ x (cos x))
0.0ms
x
@inf
(/ (/ -1 x) (+ (/ -2 x) (* x -1/6)))
0.0ms
x
@inf
(/ x (cos x))
0.0ms
x
@inf
(- (/ -1 x) (/ -1 (/ x (cos x))))

rewrite395.0ms (2.8%)

Memory
18.3MiB live, 570.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 226×/-lowering-/.f32
3 226×/-lowering-/.f64
3 074×accelerator-lowering-fma.f32
3 074×accelerator-lowering-fma.f64
2 242×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02699
118895
2203693
0950091
Stop Event
iter limit
node limit
Counts
18 → 1 318
Calls
Call 1
Inputs
(/ (/ -1 x) (+ (/ -2 x) (* x -1/6)))
(/ -1 x)
(+ (/ -2 x) (* x -1/6))
(/ -2 x)
(* (/ (- 1 (cos x)) x) (/ 1 x))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(cos x)
(- (/ 1 (* x x)) (/ (/ (cos x) x) x))
(/ 1 (* x x))
(* x x)
(/ (/ (cos x) x) x)
(- (/ -1 x) (/ -1 (/ x (cos x))))
(/ (- (/ -1 x) (/ -1 (/ x (cos x)))) (- 0 x))
(/ -1 (/ x (cos x)))
(* x -1/6)
(/ (cos x) x)
(/ x (cos x))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x)
(pow.f64 (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(+.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64))))
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64))) (/.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(-.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64))) (/.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -2 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x))
(neg.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))) (/.f64 x #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))))
(/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))) (/.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))) (/.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))))))
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(/.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) x)
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(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/6 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (cos.f64 x) x))
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(/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))
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(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cos.f64 x) #s(literal -1 binary64))))
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(/.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) x)
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(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) x)
(*.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64))
(*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (cos.f64 x) (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 0 binary64) (/.f64 x (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (cos.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x)) (/.f64 x (cos.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 x x))) (/.f64 x (cos.f64 x)))
(neg.f64 (/.f64 x (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x))
(/.f64 x (cos.f64 x))
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(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 x x))))
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(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (cos.f64 x))))))
(pow.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64))
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(*.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 x (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
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(*.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x)))
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(*.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64))
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(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 x (/.f64 (cos.f64 x) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(*.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))

simplify761.0ms (5.5%)

Memory
-298.1MiB live, 857.0MiB allocated
Algorithm
egg-herbie
Rules
15 200×accelerator-lowering-fma.f32
15 200×accelerator-lowering-fma.f64
4 112×*-lowering-*.f32
4 112×*-lowering-*.f64
3 336×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01441452
13731452
29241446
326861414
453111414
579941414
080251333
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))
(/ 6 (pow x 2))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/ 6 (pow x 2))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -2 x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(* -1/6 x)
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1/6 x)
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 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 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ -1 x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2))))))))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/288 binary64))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/288 binary64) (*.f64 (*.f64 x x) #s(literal -1/3456 binary64))))))))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 864 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -72 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 864 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -10368 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 864 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -72 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 864 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -10368 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x 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)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* -1/6 (pow x 2)) 2) x)
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* -1/6 (pow x 2)) 2) x)
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/40320 binary64)))))))))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
x
(* x (+ 1 (* 1/2 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64))))))))))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))

eval186.0ms (1.3%)

Memory
18.5MiB live, 409.3MiB allocated
Compiler

Compiled 34 006 to 2 553 computations (92.5% saved)

prune199.0ms (1.4%)

Memory
-7.9MiB live, 384.7MiB allocated
Pruning

25 alts after pruning (14 fresh and 11 done)

PrunedKeptTotal
New1 611111 622
Fresh235
Picked145
Done077
Total1 614251 639
Accuracy
100.0%
Counts
1 639 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x)
52.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
79.7%
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x)
52.4%
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))
79.8%
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))))
32.9%
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
52.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
52.4%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x))
33.4%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))))) (-.f64 #s(literal 0 binary64) x))
33.4%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x))
33.4%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))
45.1%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
51.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
31.5%
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x))
51.8%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
33.0%
(/.f64 #s(literal 6 binary64) (*.f64 x x))
45.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x (cos.f64 x)))))
79.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
51.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
99.7%
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
52.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
45.1%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
51.0%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
50.9%
#s(literal 1/2 binary64)
30.0%
#s(literal 0 binary64)
Compiler

Compiled 825 to 360 computations (56.4% saved)

regimes36.0ms (0.3%)

Memory
-26.7MiB live, 73.5MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x)
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Calls

2 calls:

18.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
15.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes28.0ms (0.2%)

Memory
-5.2MiB live, 72.6MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x)
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Outputs
#s(literal 1/2 binary64)
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x)
Calls

2 calls:

14.0ms
x
10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.0%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.7%2x
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes14.0ms (0.1%)

Memory
-6.4MiB live, 37.3MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x)
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
Outputs
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x)
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Outputs
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) x)
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal 61/720 binary64)))))))))))) (-.f64 #s(literal 0 binary64) x))
Outputs
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
79.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Memory
-25.4MiB live, 12.4MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
79.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
Outputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
79.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
77.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
30.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch21.0ms (0.1%)

Memory
9.5MiB live, 48.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
5.434670211358786e-10
6381.930146793615
Samples
9.0ms64×1valid
5.0ms96×0valid
Compiler

Compiled 182 to 130 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (40.1% of total)
ival-cos: 3.0ms (30.1% of total)
adjust: 1.0ms (10% of total)
ival-div: 1.0ms (10% of total)
ival-sub: 1.0ms (10% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
-4.5MiB live, 34.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
5.434670211358786e-10
6381.930146793615
Samples
13.0ms64×1valid
4.0ms96×0valid
Compiler

Compiled 142 to 110 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 8.0ms (56.3% of total)
ival-cos: 2.0ms (14.1% of total)
adjust: 1.0ms (7% of total)
ival-mult: 1.0ms (7% of total)
ival-sub: 1.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch20.0ms (0.1%)

Memory
-32.7MiB live, 50.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
5.434670211358786e-10
6381.930146793615
Samples
8.0ms64×1valid
4.0ms96×0valid
Compiler

Compiled 142 to 110 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 4.0ms (45.8% of total)
adjust: 1.0ms (11.5% of total)
ival-div: 1.0ms (11.5% of total)
ival-mult: 1.0ms (11.5% of total)
ival-sub: 1.0ms (11.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Memory
0.9MiB live, 40.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
5.434670211358786e-10
6381.930146793615
Samples
11.0ms160×0valid
Compiler

Compiled 112 to 90 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 5.0ms (67% of total)
ival-sub: 1.0ms (13.4% of total)
ival-div: 1.0ms (13.4% of total)
ival-mult: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory
27.7MiB live, 27.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
2.6658618643215298e+76
3.206684291073635e+78
Samples
8.0ms112×0valid
Compiler

Compiled 54 to 52 computations (3.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 4.0ms (69.9% of total)
ival-sub: 1.0ms (17.5% of total)
ival-div: 1.0ms (17.5% of total)
ival-mult: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
-15.4MiB live, 24.0MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04493
15393
25693
35893
45993
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x))
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 140000000000000000160666652390804640313986050345482420611089958357404152233984 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) x))
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -1/6 binary64)))))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 140000000000000000160666652390804640313986050345482420611089958357404152233984 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness3.8s (27.5%)

Memory
39.5MiB live, 4 450.7MiB allocated
Rules
16 752×accelerator-lowering-fma.f32
16 752×accelerator-lowering-fma.f64
15 200×accelerator-lowering-fma.f32
15 200×accelerator-lowering-fma.f64
14 578×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02694
115394
2111194
0885394
01431556
13971544
29541544
327991538
439591538
567691538
082251448
042284
1105284
2258284
3609284
41279284
52001284
62304284
73158284
84639284
96288284
107157284
117373284
127391284
137393284
147798284
08007266
0617
13617
226417
3280017
0964317
02291
114584
2127282
0894882
01441452
13731452
29241446
326861414
453111414
579941414
080251333
02699
118895
2203693
0950091
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 282 to 176 computations (37.6% saved)

preprocess49.0ms (0.4%)

Memory
-17.1MiB live, 98.9MiB allocated
Compiler

Compiled 242 to 124 computations (48.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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