sintan (problem 3.4.5)

Time bar (total: 18.6s)

analyze375.0ms (2%)

Memory
3.1MiB live, 428.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.9%50.1%0%0%0%0
0%0%49.9%50.1%0%0%0%1
0%0%49.9%50.1%0%0%0%2
0%0%49.9%50.1%0%0%0%3
0%0%49.9%50.1%0%0%0%4
0%0%49.9%50.1%0%0%0%5
0%0%49.9%50.1%0%0%0%6
0%0%49.9%50.1%0%0%0%7
0%0%49.9%50.1%0%0%0%8
0%0%49.9%50.1%0%0%0%9
0%0%49.9%50.1%0%0%0%10
0%0%49.9%50.1%0%0%0%11
0%0%49.9%50.1%0%0%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.4s (50.3%)

Memory
105.5MiB live, 10 967.5MiB allocated
Samples
6.7s4 545×2valid
1.5s1 188×3valid
683.0ms2 397×1valid
13.0ms126×0valid
Precisions
Click to see histograms. Total time spent on operations: 8.1s
ival-tan: 4.4s (54.8% of total)
ival-sin: 2.4s (30.2% of total)
adjust: 398.0ms (4.9% of total)
ival-sub: 263.0ms (3.3% of total)
const: 257.0ms (3.2% of total)
ival-div: 200.0ms (2.5% of total)
ival-<=: 83.0ms (1% of total)
ival-and: 12.0ms (0.1% of total)
ival-assert: 4.0ms (0% of total)
Bogosity

preprocess52.0ms (0.3%)

Memory
4.0MiB live, 42.3MiB allocated
Algorithm
egg-herbie
Rules
320×lower-fma.f64
320×lower-fma.f32
192×lower-*.f64
192×lower-*.f32
144×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
12923
27818
323918
450118
568818
670518
774318
877218
069
0119
1189
2289
3459
4799
51519
63269
76249
89289
99439
109449
09449
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Outputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Symmetry

(abs eps)

explain551.0ms (3%)

Memory
-12.3MiB live, 658.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1700-3(5.482058910627483e-107)(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
890-1(0.1861156567263358)(-.f64 eps (tan.f64 eps))
890-0-(-.f64 eps (sin.f64 eps))
00-0-(tan.f64 eps)
00-0-eps
00-0-(sin.f64 eps)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))u/u1670
(-.f64 eps (sin.f64 eps))underflow167
(-.f64 eps (tan.f64 eps))underflow167
-.f64(-.f64 eps (sin.f64 eps))cancellation890
-.f64(-.f64 eps (tan.f64 eps))cancellation881
Confusion
Predicted +Predicted -
+2550
-10
Precision
0.99609375
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-100
Precision?
0.99609375
Recall?
1.0
Freqs
test
numberfreq
1168
288
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
383.0ms284×2valid
51.0ms72×3valid
32.0ms152×1valid
0.0ms0valid
Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 425.0ms
ival-tan: 272.0ms (63.9% of total)
ival-sin: 116.0ms (27.3% of total)
adjust: 16.0ms (3.8% of total)
ival-sub: 15.0ms (3.5% of total)
ival-div: 6.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.1%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify31.0ms (0.2%)

Memory
-9.4MiB live, 26.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 eps (tan.f64 eps))
cost-diff0
(sin.f64 eps)
cost-diff0
(-.f64 eps (sin.f64 eps))
cost-diff0
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Rules
320×lower-fma.f64
320×lower-fma.f32
192×lower-*.f64
192×lower-*.f32
144×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0622
01122
11822
22822
34522
47922
515122
632622
762422
892822
994322
1094422
094422
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
Outputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

localize275.0ms (1.5%)

Memory
-13.1MiB live, 236.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 eps)
accuracy69.4%
(-.f64 eps (sin.f64 eps))
accuracy69.4%
(-.f64 eps (tan.f64 eps))
accuracy34.6%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Samples
191.0ms142×2valid
57.0ms36×3valid
15.0ms76×1valid
0.0ms0valid
Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 252.0ms
ival-tan: 177.0ms (70.3% of total)
ival-sin: 54.0ms (21.5% of total)
adjust: 10.0ms (4% of total)
ival-sub: 7.0ms (2.8% of total)
ival-div: 3.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())
#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())
#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())
#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())
Outputs
#s(alt -1/2 (taylor 0 eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) (taylor inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1/6 (pow eps 2)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) (taylor 0 eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) (taylor inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms
eps
@-inf
(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms
eps
@0
(/ (- eps (sin eps)) (- eps (tan eps)))
0.0ms
eps
@inf
(- eps (tan eps))
0.0ms
eps
@-inf
(- eps (tan eps))

rewrite393.0ms (2.1%)

Memory
0.8MiB live, 383.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 318×lower-*.f64
4 318×lower-*.f32
3 264×lower-/.f32
3 262×lower-/.f64
2 758×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01119
15119
240819
3594719
0825819
Stop Event
iter limit
node limit
iter limit
Counts
4 → 419
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64)))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(+.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 eps eps)) (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
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(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (fma.f64 eps (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) (*.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) (+.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (*.f64 (+.f64 eps (tan.f64 eps)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) (*.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 eps (tan.f64 eps)))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 eps (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
(/.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (neg.f64 (tan.f64 eps)) eps))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 2 binary64))) (fma.f64 eps (/.f64 (*.f64 eps eps) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))) (+.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (+.f64 (fma.f64 eps (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64))
(*.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))
(*.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))
(*.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) (*.f64 (-.f64 eps (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))))
(*.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) #s(literal 1 binary64)))
(*.f64 (+.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps))))
(*.f64 (+.f64 eps (tan.f64 eps)) (*.f64 (-.f64 eps (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))))
(*.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))
(*.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))))
(*.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)))
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)))
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) (pow.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (-.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (pow.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))

simplify419.0ms (2.2%)

Memory
25.8MiB live, 685.1MiB allocated
Algorithm
egg-herbie
Rules
12 288×lower-fma.f64
12 288×lower-fma.f32
6 122×lower-*.f64
6 122×lower-*.f32
1 424×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148561
1422524
21321499
35650444
08479418
Stop Event
iter limit
node limit
Counts
48 → 43
Calls
Call 1
Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
(* 1/6 (pow eps 3))
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (sin.f64 eps))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (sin.f64 eps))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (sin.f64 eps))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (sin.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (sin.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (sin.f64 eps))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(* -1/3 (pow eps 3))
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) #s(literal -1/3 binary64))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))

eval55.0ms (0.3%)

Memory
-15.8MiB live, 114.0MiB allocated
Compiler

Compiled 12 434 to 1 225 computations (90.1% saved)

prune74.0ms (0.4%)

Memory
26.0MiB live, 229.4MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4548462
Fresh000
Picked011
Done000
Total4549463
Accuracy
100.0%
Counts
463 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.1%
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
99.9%
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
99.7%
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
99.6%
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
0.8%
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
1.1%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.0%
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
1.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
99.4%
#s(literal -1/2 binary64)
Compiler

Compiled 228 to 136 computations (40.4% saved)

simplify332.0ms (1.8%)

Memory
11.1MiB live, 328.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 eps)
cost-diff0
(-.f64 (tan.f64 eps) eps)
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))
cost-diff7488
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
cost-diff0
(tan.f64 eps)
cost-diff0
(-.f64 (tan.f64 eps) eps)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
cost-diff0
(*.f64 eps #s(literal -27/2800 binary64))
cost-diff0
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
cost-diff0
(*.f64 eps eps)
cost-diff0
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
cost-diff0
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
cost-diff0
(*.f64 eps eps)
cost-diff0
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
Rules
5 656×lower-fma.f32
5 644×lower-fma.f64
2 294×unsub-neg
1 768×lower-*.f32
1 758×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025149
049145
196141
2214141
3437141
4728141
5960141
61140141
71941141
83657141
95268141
105968141
116060141
126092141
136217141
146258141
156260141
166260141
176260141
186260141
196264141
06264141
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(literal -1/2 binary64)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(*.f64 eps #s(literal -27/2800 binary64))
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
#s(literal 1 binary64)
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(-.f64 (sin.f64 eps) eps)
(sin.f64 eps)
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))
#s(literal -1 binary64)
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
(sin.f64 eps)
Outputs
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(literal -1/2 binary64)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(*.f64 eps #s(literal -27/2800 binary64))
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
#s(literal 1 binary64)
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(-.f64 (sin.f64 eps) eps)
(sin.f64 eps)
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps))
(/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))
#s(literal -1 binary64)
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
(sin.f64 eps)

localize545.0ms (2.9%)

Memory
-34.8MiB live, 660.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))
accuracy85.9%
(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
accuracy69.4%
(-.f64 (tan.f64 eps) eps)
accuracy2.7%
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
accuracy69.4%
(-.f64 (sin.f64 eps) eps)
accuracy69.4%
(-.f64 (tan.f64 eps) eps)
accuracy32.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
accuracy100.0%
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
accuracy100.0%
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
accuracy100.0%
(*.f64 eps eps)
accuracy99.4%
(*.f64 eps #s(literal -27/2800 binary64))
accuracy100.0%
(*.f64 eps eps)
accuracy100.0%
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
accuracy99.9%
(*.f64 eps #s(literal 27/112000 binary64))
accuracy99.4%
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
Samples
419.0ms152×2valid
62.0ms102×1valid
1.0ms0valid
Compiler

Compiled 162 to 33 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 433.0ms
ival-tan: 162.0ms (37.4% of total)
ival-mult: 122.0ms (28.2% of total)
ival-sin: 72.0ms (16.6% of total)
adjust: 23.0ms (5.3% of total)
const: 21.0ms (4.9% of total)
ival-add: 16.0ms (3.7% of total)
ival-div: 10.0ms (2.3% of total)
ival-sub: 7.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.1%)

Memory
-1.0MiB live, 34.6MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())
#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps #s(literal -27/2800 binary64)) (patch (*.f64 eps #s(literal -27/2800 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())
#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())
#s(alt (tan.f64 eps) (patch (tan.f64 eps) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())
#s(alt (*.f64 eps #s(literal 27/112000 binary64)) (patch (*.f64 eps #s(literal 27/112000 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())
Outputs
#s(alt -1/2 (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 6)) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 6)) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt 9/40 (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 9/40 (* -27/2800 (pow eps 2))) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 4)) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 4)) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -27/2800 eps) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800)) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800)) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800)) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 3)) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 27/112000 (pow eps 3)) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps) (taylor inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps) (taylor inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) eps) (taylor inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin eps) eps)) (taylor -inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)) (taylor -inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps)) (taylor -inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps)) (taylor -inf eps) (#s(alt (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
Calls

48 calls:

TimeVariablePointExpression
5.0ms
eps
@inf
(/ (sin eps) (- (tan eps) eps))
1.0ms
eps
@0
(* (/ 1 (- (tan eps) eps)) (- (sin eps) eps))
1.0ms
eps
@-inf
(+ (* (/ -1 (- (tan eps) eps)) eps) (/ (sin eps) (- (tan eps) eps)))
1.0ms
eps
@inf
(+ (* (/ -1 (- (tan eps) eps)) eps) (/ (sin eps) (- (tan eps) eps)))
1.0ms
eps
@inf
(+ (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) -1/2)

rewrite328.0ms (1.8%)

Memory
34.0MiB live, 543.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 134×lower-fma.f32
4 122×lower-fma.f64
4 084×lower-/.f32
4 078×lower-/.f64
4 042×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025116
049112
1213108
21732108
08286108
Stop Event
iter limit
node limit
iter limit
Counts
16 → 778
Calls
Call 1
Inputs
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(*.f64 eps #s(literal -27/2800 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))
(*.f64 eps #s(literal 27/112000 binary64))
(-.f64 (sin.f64 eps) eps)
(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
Outputs
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))
(+.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))))) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 eps (*.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) eps #s(literal -1/2 binary64))
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) eps) eps (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))) eps (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))) (*.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (+.f64 eps (tan.f64 eps)))
(*.f64 eps #s(literal 27/112000 binary64))
(*.f64 #s(literal 27/112000 binary64) eps)
(+.f64 (sin.f64 eps) (neg.f64 eps))
(+.f64 (neg.f64 eps) (sin.f64 eps))
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(-.f64 (sin.f64 eps) eps)
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 eps (sin.f64 eps))) (/.f64 (*.f64 eps eps) (+.f64 eps (sin.f64 eps))))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (sin.f64 eps) (neg.f64 eps))) (/.f64 (*.f64 eps eps) (-.f64 (sin.f64 eps) (neg.f64 eps))))
(fma.f64 eps #s(literal -1 binary64) (sin.f64 eps))
(fma.f64 #s(literal 1 binary64) (sin.f64 eps) (*.f64 #s(literal 1 binary64) (neg.f64 eps)))
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) eps (sin.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (*.f64 eps eps) (*.f64 (sin.f64 eps) (neg.f64 eps)))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)) (+.f64 eps (sin.f64 eps)))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)) (-.f64 (sin.f64 eps) (neg.f64 eps)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) (+.f64 eps (sin.f64 eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (*.f64 eps eps) (*.f64 (sin.f64 eps) (neg.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) (neg.f64 (+.f64 eps (sin.f64 eps))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) (neg.f64 (-.f64 (sin.f64 eps) (neg.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (*.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 eps (*.f64 eps eps)))) (*.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 eps (sin.f64 eps))) (*.f64 (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) (+.f64 eps (sin.f64 eps))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))) (neg.f64 (+.f64 eps (sin.f64 eps))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))) (neg.f64 (neg.f64 (+.f64 eps (sin.f64 eps)))))
(/.f64 (fma.f64 (*.f64 eps eps) (neg.f64 eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (neg.f64 eps) (sin.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 eps)) (*.f64 #s(literal 1 binary64) (sin.f64 eps)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))))))
(pow.f64 (/.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps))
(*.f64 (-.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (tan.f64 eps) eps))) (/.f64 (sin.f64 eps) (neg.f64 (-.f64 (tan.f64 eps) eps))))
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (-.f64 (tan.f64 eps) eps))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (tan.f64 eps) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (-.f64 (tan.f64 eps) eps)))
(/.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (-.f64 (tan.f64 eps) eps))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (-.f64 (tan.f64 eps) eps))))
(/.f64 (*.f64 (sin.f64 eps) #s(literal -1 binary64)) (neg.f64 (-.f64 (tan.f64 eps) eps)))
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64))) (neg.f64 (-.f64 (tan.f64 eps) eps)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 eps)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (tan.f64 eps) eps)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) #s(literal -1 binary64))) (neg.f64 (neg.f64 (-.f64 (tan.f64 eps) eps))))
(pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (sin.f64 eps))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 eps)) #s(literal -1 binary64)))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)))
(*.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (+.f64 eps (tan.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)))

simplify456.0ms (2.4%)

Memory
-17.8MiB live, 699.5MiB allocated
Algorithm
egg-herbie
Rules
14 332×lower-fma.f64
14 332×lower-fma.f32
4 420×lower-+.f64
4 420×lower-+.f32
4 138×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03712265
110952193
234152127
081982051
Stop Event
iter limit
node limit
Counts
192 → 191
Calls
Call 1
Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* -27/2800 eps)
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 3))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 3))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(/ 3 (pow eps 3))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
(/ -1 eps)
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ -1 eps)
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps))) (/ (sin eps) (cos eps))) eps)))
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* -1 eps)
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(/ 3 (pow eps 2))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
(* -1 (/ (sin eps) eps))
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) eps)
(* -1 (/ (sin eps) eps))
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(* 27/112000 (pow eps 4))
(*.f64 #s(literal 27/112000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* 27/112000 (pow eps 4))
(*.f64 #s(literal 27/112000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(* 27/112000 (pow eps 3))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps (*.f64 eps eps)))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* 27/112000 (pow eps 3))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(* -27/2800 (pow eps 4))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -27/2800 binary64))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(*.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(*.f64 (+.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(*.f64 (+.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* -27/2800 (pow eps 4))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -27/2800 binary64))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(*.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(*.f64 (+.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(*.f64 (+.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(* -27/2800 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -27/2800 binary64)))
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(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(/.f64 (fma.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 eps)))) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) (*.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps)) eps)
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* -1/6 (pow eps 3))
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/6 binary64))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ (sin eps) eps) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* eps (- (/ (sin eps) eps) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* eps (- (/ (sin eps) eps) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(/ 3 (pow eps 2))
(/.f64 #s(literal 3 binary64) (*.f64 eps eps))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/.f64 (fma.f64 (*.f64 eps eps) #s(literal -17/10 binary64) #s(literal 3 binary64)) (*.f64 eps eps))
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/.f64 (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 307/1400 binary64) #s(literal -17/10 binary64))) #s(literal 3 binary64)) (*.f64 eps eps))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1247/126000 binary64) #s(literal 307/1400 binary64)) #s(literal -17/10 binary64)) #s(literal 3 binary64)) (*.f64 eps eps))
(* -1 (/ (sin eps) eps))
(/.f64 (sin.f64 eps) (neg.f64 eps))
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps)
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)
(/.f64 (-.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps)
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) eps)
(/.f64 (-.f64 (-.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) eps)
(* -1 (/ (sin eps) eps))
(/.f64 (sin.f64 eps) (neg.f64 eps))
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))
(/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps)
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(/.f64 (-.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps)
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(/.f64 (+.f64 (sin.f64 eps) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))))) eps)) (neg.f64 eps))

eval152.0ms (0.8%)

Memory
38.9MiB live, 250.6MiB allocated
Compiler

Compiled 30 983 to 2 239 computations (92.8% saved)

prune364.0ms (2%)

Memory
-61.0MiB live, 291.6MiB allocated
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New1 15631 159
Fresh123
Picked055
Done011
Total1 157111 168
Accuracy
100.0%
Counts
1 168 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.1%
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
99.9%
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
99.7%
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
99.6%
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
0.8%
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
1.1%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.0%
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
0.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps))
1.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
1.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
99.4%
#s(literal -1/2 binary64)
Compiler

Compiled 263 to 151 computations (42.6% saved)

simplify408.0ms (2.2%)

Memory
2.5MiB live, 711.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps))
cost-diff320
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps))
cost-diff0
(-.f64 eps (sin.f64 eps))
cost-diff0
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
cost-diff128
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps)))
cost-diff192
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
cost-diff0
(tan.f64 eps)
cost-diff0
(-.f64 (tan.f64 eps) eps)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 eps (*.f64 eps eps))
cost-diff0
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
cost-diff0
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
cost-diff0
(*.f64 eps eps)
cost-diff0
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
Rules
17 146×lower-fma.f32
17 130×lower-fma.f64
5 082×lower-+.f64
5 082×lower-+.f32
4 664×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042321
080307
1186295
2586292
31843292
44863292
57761292
08958292
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 eps (*.f64 eps eps))
eps
(*.f64 eps eps)
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
#s(literal 1 binary64)
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps)))
#s(literal 1 binary64)
(neg.f64 (cos.f64 eps))
(cos.f64 eps)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps))
#s(literal 1 binary64)
(-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))
(sin.f64 eps)
eps
(/.f64 #s(literal 1 binary64) (cos.f64 eps))
(cos.f64 eps)
(-.f64 (sin.f64 eps) eps)
Outputs
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))
(*.f64 eps (*.f64 eps eps))
eps
(*.f64 eps eps)
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 eps eps) (/.f64 (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (-.f64 (tan.f64 eps) eps)))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
#s(literal 1 binary64)
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps)))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
#s(literal 1 binary64)
(neg.f64 (cos.f64 eps))
(cos.f64 eps)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps))
#s(literal 1 binary64)
(-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps)
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
eps
(/.f64 #s(literal 1 binary64) (cos.f64 eps))
(cos.f64 eps)
(-.f64 (sin.f64 eps) eps)

localize704.0ms (3.8%)

Memory
-36.0MiB live, 737.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps))
accuracy69.4%
(-.f64 (sin.f64 eps) eps)
accuracy69.4%
(-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)
accuracy32.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps))
accuracy100.0%
(cos.f64 eps)
accuracy69.4%
(-.f64 eps (sin.f64 eps))
accuracy69.4%
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
accuracy34.6%
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
accuracy99.8%
(*.f64 eps (*.f64 eps eps))
accuracy99.8%
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy69.4%
(-.f64 (tan.f64 eps) eps)
accuracy32.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
accuracy99.8%
(*.f64 eps (*.f64 eps eps))
accuracy99.8%
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
accuracy69.4%
(-.f64 eps (tan.f64 eps))
accuracy34.6%
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
accuracy100.0%
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 eps eps)
Samples
405.0ms141×2valid
73.0ms76×1valid
69.0ms37×3valid
1.0ms0valid
Compiler

Compiled 350 to 52 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 496.0ms
ival-tan: 166.0ms (33.5% of total)
ival-sin: 74.0ms (14.9% of total)
ival-cos: 54.0ms (10.9% of total)
const: 50.0ms (10.1% of total)
adjust: 47.0ms (9.5% of total)
ival-mult: 43.0ms (8.7% of total)
ival-div: 21.0ms (4.2% of total)
ival-add: 21.0ms (4.2% of total)
ival-sub: 17.0ms (3.4% of total)
ival-neg: 3.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())
#s(alt (-.f64 (tan.f64 eps) eps) (patch (-.f64 (tan.f64 eps) eps) #<representation binary64>) () ())
#s(alt (tan.f64 eps) (patch (tan.f64 eps) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps) (patch (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)) #<representation binary64>) () ())
#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) (patch (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) (patch (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps) #<representation binary64>) () ())
#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())
#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())
Outputs
#s(alt -1/2 (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 (pow eps 2)) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/40 (pow eps 2)) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/362880 (pow eps 9)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow eps 2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (taylor 0 eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (taylor 0 eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) (taylor 0 eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (sin eps) eps) 1)) (taylor inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (sin eps) eps) 1)) (taylor inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (sin eps) eps) 1)) (taylor inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) (taylor -inf eps) (#s(alt (-.f64 (sin.f64 eps) eps) (patch (-.f64 (sin.f64 eps) eps) #<representation binary64>) () ())) ())
Calls

63 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(* (/ 1 (- (tan eps) eps)) (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) 1/362880) -1/5040)) 1/120)) -1/6)))
1.0ms
eps
@inf
(/ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/362880) 1/5040)) -1/120)) 1/6)) (- eps (tan eps)))
1.0ms
eps
@-inf
(* (/ 1 (- (tan eps) eps)) (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) 1/362880) -1/5040)) 1/120)) -1/6)))
1.0ms
eps
@-inf
(/ (- eps (sin eps)) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps))
1.0ms
eps
@-inf
(/ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/362880) 1/5040)) -1/120)) 1/6)) (- eps (tan eps)))

rewrite583.0ms (3.1%)

Memory
4.1MiB live, 465.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 024×lower-*.f32
5 010×lower-*.f64
4 918×lower-fma.f32
4 902×lower-fma.f64
4 408×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042211
080183
1381166
22980166
010671166
Stop Event
iter limit
node limit
iter limit
Counts
21 → 932
Calls
Call 1
Inputs
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(*.f64 eps eps)
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 eps (*.f64 eps eps))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps))
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
(-.f64 eps (sin.f64 eps))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps))
(-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)
(-.f64 eps (tan.f64 eps))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(cos.f64 eps)
(-.f64 (sin.f64 eps) eps)
Outputs
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(+.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))))
(fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps #s(literal 9/40 binary64)) eps #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (*.f64 eps eps) (*.f64 (sin.f64 eps) (neg.f64 eps)))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)) (+.f64 eps (sin.f64 eps)))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)) (-.f64 (sin.f64 eps) (neg.f64 eps)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) (+.f64 eps (sin.f64 eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (*.f64 eps eps) (*.f64 (sin.f64 eps) (neg.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) (neg.f64 (+.f64 eps (sin.f64 eps))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) (neg.f64 (-.f64 (sin.f64 eps) (neg.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (*.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 eps (*.f64 eps eps)))) (*.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 eps (sin.f64 eps))) (*.f64 (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) (+.f64 eps (sin.f64 eps))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))) (neg.f64 (+.f64 eps (sin.f64 eps))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)))) (neg.f64 (neg.f64 (+.f64 eps (sin.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (sin.f64 eps) (*.f64 #s(literal 1 binary64) (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 (*.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (sin.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (*.f64 eps eps) (neg.f64 eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (neg.f64 eps) (sin.f64 eps)))))
(pow.f64 (/.f64 (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps))
(*.f64 (-.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))

simplify502.0ms (2.7%)

Memory
36.8MiB live, 672.4MiB allocated
Algorithm
egg-herbie
Rules
10 240×lower-fma.f64
10 240×lower-fma.f32
5 174×lower-*.f64
5 174×lower-*.f32
4 358×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03823035
111062937
234592839
083672694
Stop Event
iter limit
node limit
Counts
252 → 244
Calls
Call 1
Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* 1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (+ 1/5040 (+ (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps))))) eps)) (* 1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(/ 3 (pow eps 3))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
(/ -1 eps)
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ -1 eps)
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1
(- (* -1/2 (pow eps 2)) 1)
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ 3 (pow eps 3))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
(/ -1 eps)
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps)
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ -1 eps)
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* 1/362880 (pow eps 9))
(* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))
(* 1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
1
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* -1 eps)
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 9/40 (pow eps 2))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(* 9/40 (pow eps 2))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -1/362880 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal -1/362880 binary64)))
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) (*.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1/362880 binary64) #s(literal 1/362880 binary64))))
(* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (cos.f64 eps))))) (-.f64 (/.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) (*.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1/362880 binary64) #s(literal 1/362880 binary64)))))
(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -1/362880 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal -1/362880 binary64)))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 #s(literal -1/362880 binary64) (/.f64 (fma.f64 #s(literal 1/362880 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (fma.f64 #s(literal 1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/5040 binary64)) eps)) eps)))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64))) eps) (/.f64 (*.f64 #s(literal -1/362880 binary64) (sin.f64 eps)) (cos.f64 eps))) eps)))
(* 1/6 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(* -1/362880 (pow eps 9))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal -1/362880 binary64) (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* -1/362880 (pow eps 9))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 eps eps))) (neg.f64 (pow.f64 eps #s(literal 9 binary64))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal -1/362880 binary64) (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -1/362880 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal -1/362880 binary64)))
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) (*.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1/362880 binary64) #s(literal 1/362880 binary64))))
(* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(*.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (cos.f64 eps))))) (-.f64 (/.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) (*.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1/362880 binary64) #s(literal 1/362880 binary64)))))
(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
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(* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* 1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
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1
#s(literal 1 binary64)
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eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
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(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
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(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
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(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps)
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps)
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) eps)
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(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) eps)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps)
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(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
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(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 62/2835 binary64) #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64))))
(* -1 eps)
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(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
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(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps))
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(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
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(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64))) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* -1/6 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* 1/362880 (pow eps 9))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 eps eps))))
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 eps eps)))))
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 eps eps)) (/.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* 1/362880 (pow eps 9))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
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(* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow eps 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(* -1/6 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* -1 eps)
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(* eps (- (/ (sin eps) eps) 1))
(-.f64 (/.f64 (*.f64 eps (sin.f64 eps)) eps) eps)
(* eps (- (/ (sin eps) eps) 1))
(-.f64 (/.f64 (*.f64 eps (sin.f64 eps)) eps) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(-.f64 (/.f64 (*.f64 eps (sin.f64 eps)) eps) eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(-.f64 (/.f64 (*.f64 eps (sin.f64 eps)) eps) eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(-.f64 (/.f64 (*.f64 eps (sin.f64 eps)) eps) eps)

eval214.0ms (1.1%)

Memory
-7.0MiB live, 362.8MiB allocated
Compiler

Compiled 43 332 to 3 152 computations (92.7% saved)

prune173.0ms (0.9%)

Memory
-25.3MiB live, 424.1MiB allocated
Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New1 42521 427
Fresh000
Picked145
Done066
Total1 426121 438
Accuracy
100.0%
Counts
1 438 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.1%
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
99.9%
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
99.7%
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
99.6%
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
0.8%
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps))
1.1%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.0%
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
31.7%
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
0.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps))
1.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
1.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
99.4%
#s(literal -1/2 binary64)
Compiler

Compiled 211 to 116 computations (45% saved)

simplify253.0ms (1.4%)

Memory
8.9MiB live, 471.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 eps)
cost-diff0
(-.f64 eps (sin.f64 eps))
cost-diff0
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps))
cost-diff192
(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)
cost-diff0
(*.f64 eps eps)
cost-diff0
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))
cost-diff2304
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
Rules
6 370×lower-fma.f32
6 356×lower-fma.f64
4 554×lower-*.f32
4 546×lower-*.f64
2 650×lower-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027207
051197
1126197
2441197
31628189
46787187
08560187
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64))
(*.f64 eps eps)
eps
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64))
#s(literal -2/7875 binary64)
#s(literal -1/175 binary64)
#s(literal -6/5 binary64)
#s(literal 3 binary64)
(*.f64 eps (*.f64 eps eps))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
#s(literal -1 binary64)
(cos.f64 eps)
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64))) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64))) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64))) #s(literal -6/5 binary64)) #s(literal 3 binary64))
(*.f64 eps eps)
eps
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64))) #s(literal -6/5 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64))
(fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64))
#s(literal -2/7875 binary64)
#s(literal -1/175 binary64)
#s(literal -6/5 binary64)
#s(literal 3 binary64)
(*.f64 eps (*.f64 eps eps))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
#s(literal -1 binary64)
(cos.f64 eps)

localize364.0ms (2%)

Memory
0.4MiB live, 513.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 eps)
accuracy69.4%
(-.f64 eps (sin.f64 eps))
accuracy69.4%
(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)
accuracy34.6%
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps))
accuracy99.9%
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))
accuracy99.8%
(*.f64 eps (*.f64 eps eps))
accuracy99.8%
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy32.4%
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
Samples
169.0ms141×2valid
88.0ms37×3valid
56.0ms76×1valid
1.0ms0valid
Compiler

Compiled 235 to 36 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 279.0ms
ival-sin: 110.0ms (39.4% of total)
const: 34.0ms (12.2% of total)
ival-cos: 33.0ms (11.8% of total)
ival-mult: 30.0ms (10.8% of total)
adjust: 27.0ms (9.7% of total)
ival-add: 26.0ms (9.3% of total)
ival-div: 15.0ms (5.4% of total)
ival-sub: 4.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (patch (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) (patch (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) #<representation binary64>) () ())
#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())
#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())
Outputs
#s(alt -1/2 (taylor 0 eps) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) (taylor -inf eps) (#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) (taylor 0 eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1 (/ (sin eps) eps)))) (taylor inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ (sin eps) eps) 1))) (taylor -inf eps) (#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* -1/6 (pow eps 2)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (taylor 0 eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (sin eps) (taylor -inf eps) (#s(alt (sin.f64 eps) (patch (sin.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow eps 3)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/362880 (pow eps 9)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/362880 (pow eps 9)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow eps 2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) (taylor 0 eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
#s(alt (cos eps) (taylor -inf eps) (#s(alt (cos.f64 eps) (patch (cos.f64 eps) #<representation binary64>) () ())) ())
Calls

33 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(* (/ (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -2/7875) -1/175)) -6/5)) 3) (* eps (* eps eps))) (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) 1/362880) -1/5040)) 1/120)) -1/6)))
0.0ms
eps
@0
(* (/ (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -2/7875) -1/175)) -6/5)) 3) (* eps (* eps eps))) (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) 1/362880) -1/5040)) 1/120)) -1/6)))
0.0ms
eps
@inf
(/ (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -2/7875) -1/175)) -6/5)) 3) (* eps (* eps eps)))
0.0ms
eps
@-inf
(/ (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -2/7875) -1/175)) -6/5)) 3) (* eps (* eps eps)))
0.0ms
eps
@-inf
(* (/ (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -2/7875) -1/175)) -6/5)) 3) (* eps (* eps eps))) (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) 1/362880) -1/5040)) 1/120)) -1/6)))

rewrite334.0ms (1.8%)

Memory
14.7MiB live, 573.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 598×lower-/.f32
4 592×lower-/.f64
4 306×lower-fma.f32
4 292×lower-fma.f64
4 132×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027142
051132
1254132
22118126
08461126
Stop Event
iter limit
node limit
iter limit
Counts
11 → 443
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64))
(*.f64 eps eps)
(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(*.f64 eps (*.f64 eps eps))
(cos.f64 eps)
Outputs
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(/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps eps))))))))
(*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)))
(*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) eps)
(*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))
(pow.f64 eps #s(literal 3 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64))
(*.f64 eps (*.f64 eps eps))
(*.f64 (*.f64 eps eps) eps)
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))
(cos.f64 eps)

simplify551.0ms (3%)

Memory
1.5MiB live, 526.1MiB allocated
Algorithm
egg-herbie
Rules
11 722×lower-fma.f64
11 722×lower-fma.f32
4 654×lower-*.f64
4 654×lower-*.f32
3 766×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02621350
17031313
222841275
365751249
081331195
Stop Event
iter limit
node limit
Counts
132 → 127
Calls
Call 1
Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* -1/1428840000 (pow eps 12))
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) 1/1428840000))
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4)))))
(* (pow eps 12) (- (+ (* 11/317520000 (/ 1 (pow eps 2))) (* 27/112000 (/ 1 (pow eps 6)))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4)))))
(* -1/1428840000 (pow eps 12))
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) 1/1428840000))
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4)))))
(* (pow eps 12) (- (+ (* 11/317520000 (/ 1 (pow eps 2))) (* 27/112000 (/ 1 (pow eps 6)))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4)))))
(/ 3 (pow eps 3))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
(* -2/7875 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2))))))
(* (pow eps 3) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875))
(* (pow eps 3) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4))))))
(* -2/7875 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4))))))
(* -1 (* (pow eps 3) (- (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))) (* 3 (/ 1 (pow eps 6))))))
3
(+ 3 (* -6/5 (pow eps 2)))
(+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5)))
(+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5)))
(* -2/7875 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875))
(* (pow eps 6) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4))))))
(* -2/7875 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875))
(* (pow eps 6) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* 1/362880 (pow eps 9))
(* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))
(* 1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
1
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* -1/1428840000 (pow eps 12))
(*.f64 #s(literal -1/1428840000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) 1/1428840000))
(*.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal -1/1428840000 binary64) (/.f64 #s(literal 11/317520000 binary64) (*.f64 eps eps))))
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4)))))
(*.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal -1/1428840000 binary64) (+.f64 (/.f64 #s(literal 11/317520000 binary64) (*.f64 eps eps)) (/.f64 #s(literal -227/52920000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
(* (pow eps 12) (- (+ (* 11/317520000 (/ 1 (pow eps 2))) (* 27/112000 (/ 1 (pow eps 6)))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4)))))
(*.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal -1/1428840000 binary64) (+.f64 (/.f64 #s(literal 11/317520000 binary64) (*.f64 eps eps)) (/.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64))))) (/.f64 #s(literal -227/52920000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* -1/1428840000 (pow eps 12))
(*.f64 #s(literal -1/1428840000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) 1/1428840000))
(*.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal -1/1428840000 binary64) (/.f64 #s(literal 11/317520000 binary64) (*.f64 eps eps))))
(* (pow eps 12) (- (* 11/317520000 (/ 1 (pow eps 2))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4)))))
(*.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal -1/1428840000 binary64) (+.f64 (/.f64 #s(literal 11/317520000 binary64) (*.f64 eps eps)) (/.f64 #s(literal -227/52920000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
(* (pow eps 12) (- (+ (* 11/317520000 (/ 1 (pow eps 2))) (* 27/112000 (/ 1 (pow eps 6)))) (+ 1/1428840000 (/ 227/52920000 (pow eps 4)))))
(*.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal -1/1428840000 binary64) (+.f64 (/.f64 #s(literal 11/317520000 binary64) (*.f64 eps eps)) (/.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64))))) (/.f64 #s(literal -227/52920000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(/ 3 (pow eps 3))
(/.f64 #s(literal 3 binary64) (*.f64 eps (*.f64 eps eps)))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3))
(/.f64 (fma.f64 eps (*.f64 eps #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3))
(/.f64 (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/175 binary64) #s(literal -6/5 binary64))) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3))
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))
(* -2/7875 (pow eps 3))
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7875 binary64))))
(* -1 (* (pow eps 3) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps))))
(* (pow eps 3) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -2/7875 binary64) (/.f64 (+.f64 #s(literal -1/175 binary64) (/.f64 #s(literal -6/5 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 3) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4))))))
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 eps #s(literal 6 binary64))) (/.f64 #s(literal -6/5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps))))))
(* -2/7875 (pow eps 3))
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7875 binary64))))
(* -1 (* (pow eps 3) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps))) (/.f64 #s(literal -6/5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))) (* 3 (/ 1 (pow eps 6))))))
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 eps #s(literal 6 binary64))) (/.f64 #s(literal -6/5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps))))))
3
#s(literal 3 binary64)
(+ 3 (* -6/5 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -6/5 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5)))
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/175 binary64) #s(literal -6/5 binary64))) #s(literal 3 binary64))
(+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5)))
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(* -2/7875 (pow eps 6))
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(* -2/7875 (pow eps 6))
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(*.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 #s(literal -2/7875 binary64) (/.f64 #s(literal 1/175 binary64) (*.f64 eps eps))))
(* (pow eps 6) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875))
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(* (pow eps 6) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4))))))
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(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* -1/3 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64))) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps (cos.f64 eps))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps (cos.f64 eps))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps (cos.f64 eps))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps (cos.f64 eps))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps (cos.f64 eps))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps (cos.f64 eps))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (*.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps)) eps))
(* 1/6 (pow eps 3))
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/120 binary64) #s(literal 1/6 binary64))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (*.f64 eps eps) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(* -1/6 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(*.f64 (*.f64 eps eps) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(* 1/362880 (pow eps 9))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))))
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))))
(* 1/362880 (pow eps 9))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (-.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow eps 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)

eval146.0ms (0.8%)

Memory
-17.7MiB live, 131.6MiB allocated
Compiler

Compiled 36 614 to 1 795 computations (95.1% saved)

prune122.0ms (0.7%)

Memory
-3.8MiB live, 120.7MiB allocated
Pruning

16 alts after pruning (5 fresh and 11 done)

PrunedKeptTotal
New7235728
Fresh000
Picked112
Done01010
Total72416740
Accuracy
100.0%
Counts
740 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.1%
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
99.9%
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
99.7%
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
99.6%
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
0.8%
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps))
0.8%
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (sin.f64 eps)) eps))
1.8%
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)))))))
1.1%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
33.9%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 eps eps)))
1.0%
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
99.9%
(*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
0.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps))
1.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
1.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
99.4%
#s(literal -1/2 binary64)
Compiler

Compiled 990 to 307 computations (69% saved)

regimes12.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7875 binary64) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7875 binary64)) #s(literal -1/175 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 eps eps)))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (sin.f64 eps)) eps))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)) (-.f64 (sin.f64 eps) eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) eps)))))))
Outputs
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
Calls

2 calls:

6.0ms
eps
5.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
99.9%1eps
99.9%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
Outputs
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
Calls

2 calls:

2.0ms
eps
1.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
99.7%1eps
99.7%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes3.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
Outputs
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
Calls

2 calls:

2.0ms
eps
1.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
99.6%1eps
99.6%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
eps
1.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
99.4%1eps
99.4%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01534
11834
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

soundness360.0ms (1.9%)

Memory
-46.9MiB live, 169.7MiB allocated
Rules
12 288×lower-fma.f64
12 288×lower-fma.f32
6 122×lower-*.f64
6 122×lower-*.f32
1 424×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148561
1422524
21321499
35650444
08479418
Stop Event
fuel
iter limit
node limit
Compiler

Compiled 73 to 41 computations (43.8% saved)

preprocess64.0ms (0.3%)

Memory
3.0MiB live, 82.4MiB allocated
Remove

(abs eps)

Compiler

Compiled 216 to 120 computations (44.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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