sintan (problem 3.4.5)

Time bar (total: 18.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze373.0ms (2%)

Memory
-6.6MiB live, 449.3MiB 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)

sample9.7s (53%)

Memory
118.9MiB live, 9 439.0MiB allocated
Samples
7.0s4 484×2valid
1.6s1 172×3valid
690.0ms2 487×1valid
11.0ms113×0valid
Precisions
Click to see histograms. Total time spent on operations: 8.8s
ival-tan: 5.0s (56.4% of total)
ival-sin: 2.6s (30.1% of total)
ival-sub: 325.0ms (3.7% of total)
adjust: 323.0ms (3.7% of total)
const: 271.0ms (3.1% of total)
ival-div: 155.0ms (1.8% of total)
ival-<=: 90.0ms (1% of total)
ival-and: 13.0ms (0.1% of total)
ival-assert: 3.0ms (0% of total)
Bogosity

explain595.0ms (3.2%)

Memory
18.6MiB live, 834.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1640-1(-3.8610786025483246e-106)(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
930-0-(-.f64 eps (tan.f64 eps))
930-0-(-.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/u1630
(-.f64 eps (sin.f64 eps))underflow163
(-.f64 eps (tan.f64 eps))underflow163
-.f64(-.f64 eps (sin.f64 eps))cancellation930
-.f64(-.f64 eps (tan.f64 eps))cancellation930
Confusion
Predicted +Predicted -
+2540
-20
Precision
0.9921875
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25400
-200
Precision?
0.9921875
Recall?
1.0
Freqs
test
numberfreq
1163
293
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
423.0ms264×2valid
82.0ms84×3valid
27.0ms154×1valid
1.0ms10×0valid
Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 509.0ms
ival-tan: 285.0ms (56% of total)
ival-sin: 115.0ms (22.6% of total)
ival-sub: 79.0ms (15.5% of total)
adjust: 17.0ms (3.3% of total)
ival-div: 13.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess52.0ms (0.3%)

Memory
0.7MiB live, 80.7MiB 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)))
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps))
Symmetry

(abs eps)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.1%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify26.0ms (0.1%)

Memory
-2.8MiB live, 31.8MiB 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 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

localize304.0ms (1.7%)

Memory
-24.3MiB live, 423.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 eps)
accuracy20.652066484620757
(-.f64 eps (sin.f64 eps))
accuracy20.652910231995694
(-.f64 eps (tan.f64 eps))
accuracy40.618236411416795
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Samples
168.0ms132×2valid
113.0ms42×3valid
12.0ms77×1valid
0.0ms0valid
Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-tan: 101.0ms (50.4% of total)
ival-sin: 57.0ms (28.4% of total)
adjust: 27.0ms (13.5% of total)
ival-sub: 11.0ms (5.5% of total)
ival-div: 4.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
8.3MiB live, 8.3MiB 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 (* 1/6 (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 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 (* -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 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 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 (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 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 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 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 (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 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

3 calls:

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

simplify149.0ms (0.8%)

Memory
20.5MiB live, 213.8MiB 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
35649444
08475418
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)
(* 1/6 (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 (* -1/6 (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))))
(* -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))
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))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
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))))))
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
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(sin eps)
(sin eps)
(sin eps)
(sin 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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(* -1/3 (pow eps 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.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 (/ (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 (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps) eps) eps)) (sin.f64 eps) (/.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)))
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))
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
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)))
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 (/.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 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.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) #s(literal 1 binary64))
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))
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.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)))

rewrite182.0ms (1%)

Memory
-36.6MiB live, 190.5MiB allocated
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
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (-.f64 eps (tan.f64 eps))) (fma.f64 (*.f64 eps eps) eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (-.f64 eps (tan.f64 eps))) (+.f64 (-.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (-.f64 eps (sin.f64 eps)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (-.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (-.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 eps) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (*.f64 eps eps) eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)) (/.f64 #s(literal -1 binary64) (-.f64 eps (tan.f64 eps))))
(*.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (sin.f64 eps) eps)))
(*.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))))
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))))
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 eps (sin.f64 eps))))
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 eps) eps)))
(*.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(*.f64 (*.f64 (*.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 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (+.f64 (sin.f64 eps) eps))))
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(/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (tan.f64 eps)) eps))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(/.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))
(/.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64))
(neg.f64 (-.f64 (tan.f64 eps) eps))
(fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (-.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(fma.f64 (/.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps)
(fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) eps)
(fma.f64 (*.f64 eps eps) (/.f64 eps (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(fma.f64 (*.f64 (*.f64 eps eps) eps) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps)
(fma.f64 (sin.f64 eps) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
(fma.f64 eps (/.f64 (*.f64 eps eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(-.f64 (+.f64 eps #s(literal 0 binary64)) (tan.f64 eps))
(-.f64 (/.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 1 binary64)))
(-.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (tan.f64 eps) #s(literal 1 binary64)))
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 eps) eps))
(-.f64 eps (tan.f64 eps))
(+.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (tan.f64 eps)))
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 eps (neg.f64 (tan.f64 eps)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))) #s(literal -1 binary64)))

eval78.0ms (0.4%)

Memory
8.1MiB live, 86.5MiB allocated
Compiler

Compiled 12 477 to 1 219 computations (90.2% saved)

prune75.0ms (0.4%)

Memory
-13.0MiB live, 149.1MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4548462
Fresh000
Picked101
Done000
Total4558463
Accuracy
100.0%
Counts
463 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.6%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
3.1%
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
1.5%
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
1.7%
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)) (-.f64 eps (tan.f64 eps)))
100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
99.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
99.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 326 to 156 computations (52.1% saved)

simplify170.0ms (0.9%)

Memory
24.0MiB live, 216.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
cost-diff384
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
cost-diff14016
(-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
cost-diff20480
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
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
(*.f64 eps eps)
cost-diff0
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
Rules
11 554×lower-fma.f32
11 540×lower-fma.f64
4 764×lower-*.f32
4 756×lower-*.f64
2 250×lower--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041372
073372
1142326
2343302
31320298
45027298
08455298
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
#s(literal 27/112000 binary64)
(*.f64 eps eps)
eps
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal -1/2 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 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(*.f64 (*.f64 eps eps) eps)
(*.f64 eps eps)
eps
(fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))
(+.f64 (sin.f64 eps) eps)
(sin.f64 eps)
(*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(pow.f64 (sin.f64 eps) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
#s(literal 27/112000 binary64)
(*.f64 eps eps)
eps
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal -1/2 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 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
(/.f64 (fma.f64 (*.f64 eps eps) eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (*.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 eps eps) eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(*.f64 (fma.f64 (*.f64 eps eps) eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) eps))
(*.f64 (*.f64 eps eps) eps)
(*.f64 eps eps)
eps
(fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))
(+.f64 (sin.f64 eps) eps)
(sin.f64 eps)
(*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(pow.f64 (sin.f64 eps) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

localize581.0ms (3.2%)

Memory
-2.7MiB live, 811.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy9.50329012730153
(-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
accuracy20.652910231995694
(-.f64 eps (tan.f64 eps))
accuracy40.618236411416795
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
accuracy51.993686907379725
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps)))
accuracy20.652066484620757
(-.f64 eps (sin.f64 eps))
accuracy20.678046562820015
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
accuracy40.618236411416795
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
accuracy0
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
accuracy0
(*.f64 eps eps)
accuracy0.00390625
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy0.08191509887346551
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
accuracy0.6256957207839868
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
accuracy0
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy0
(*.f64 eps eps)
accuracy0.00390625
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
accuracy0.02845860241743066
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
Samples
320.0ms132×2valid
111.0ms42×3valid
91.0ms77×1valid
2.0ms0valid
Compiler

Compiled 366 to 43 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 481.0ms
ival-tan: 141.0ms (29.3% of total)
adjust: 73.0ms (15.2% of total)
ival-sin: 61.0ms (12.7% of total)
ival-mult: 41.0ms (8.5% of total)
ival-add: 40.0ms (8.3% of total)
ival-cos: 36.0ms (7.5% of total)
ival-div: 26.0ms (5.4% of total)
ival-sub: 24.0ms (5% of total)
const: 20.0ms (4.2% of total)
ival-pow: 8.0ms (1.7% of total)
ival-pow2: 7.0ms (1.5% of total)
ival-neg: 3.0ms (0.6% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
37.3MiB live, 74.6MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (patch (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (patch (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 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) (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 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (patch (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (patch (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps 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 #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #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 #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #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 #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor -inf eps) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps))) (taylor -inf eps) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (patch (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (patch (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (patch (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1))) (taylor -inf eps) (#s(alt (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (patch (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps 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

3 calls:

TimeVariablePointExpression
10.0ms
eps
@-inf
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps) (/ 1 (neg (cos eps))) (/ (- eps (sin eps)) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps)) (- eps (sin eps)) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (- eps (tan eps)))
6.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps) (/ 1 (neg (cos eps))) (/ (- eps (sin eps)) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps)) (- eps (sin eps)) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (- eps (tan eps)))
4.0ms
eps
@0
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps) (/ 1 (neg (cos eps))) (/ (- eps (sin eps)) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps)) (- eps (sin eps)) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (- eps (tan eps)))

simplify155.0ms (0.8%)

Memory
-32.2MiB live, 241.7MiB allocated
Algorithm
egg-herbie
Rules
9 596×lower-fma.f64
9 596×lower-fma.f32
4 358×lower-*.f64
4 358×lower-*.f32
2 980×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04213408
112773153
245282889
084592762
Stop Event
iter limit
node limit
Counts
216 → 208
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)
-1/2
(- (* 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)
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)))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
-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)
-1/2
(- (* 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)
-1/2
(- (* 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)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (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))
-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)
-1/2
(- (* 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)
(* 1/6 (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))))
(* 1/6 (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))))
(* 3/2 (pow eps 7))
(* (pow eps 7) (+ 3/2 (* -23/40 (pow eps 2))))
(* (pow eps 7) (+ 3/2 (* (pow eps 2) (- (* 611/5040 (pow eps 2)) 23/40))))
(* (pow eps 7) (+ 3/2 (* (pow eps 2) (- (* (pow eps 2) (+ 611/5040 (* -1513/86400 (pow eps 2)))) 23/40))))
-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)
(* 3 (pow eps 5))
(* (pow eps 5) (+ 3 (* -1/2 (pow eps 2))))
(* (pow eps 5) (+ 3 (* (pow eps 2) (- (* 19/360 (pow eps 2)) 1/2))))
(* (pow eps 5) (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 19/360 (* -17/5040 (pow eps 2)))) 1/2))))
(* -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))
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))))))
(* 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 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 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 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 (/ (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))))))
(* -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 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))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
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))))))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
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))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (* (sin eps) (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (/ (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (/ (sin eps) eps)))
(* (pow eps 5) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
(* (pow eps 5) (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))
1
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (pow eps 2))) (/ (sin eps) eps))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)))))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (/ (sin eps) eps)))
(* (pow eps 5) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
(* (pow eps 5) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
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))))))
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)))
(* 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 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 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
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
(+ 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)))
(* -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 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))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
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 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (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)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* -1 (* eps (- (* -1 (/ (- (sin eps) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sin eps) 3)) (+ (* -2 (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))))) (+ (* 2 (pow (sin eps) 3)) (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps))))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps))) eps)) 1)))
1
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #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 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 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)
(* -1/3 (pow eps 3))
(*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
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(- (+ 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 (cos.f64 eps) 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 (/.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 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)))) eps)) eps) #s(literal 1 binary64))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
eps
(* -1 (* eps (- (* -1 (/ (- (sin eps) (* 2 (sin eps))) eps)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sin eps) 3)) (+ (* -2 (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))))) (+ (* 2 (pow (sin eps) 3)) (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps))))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (/.f64 (*.f64 #s(literal 0 binary64) (sin.f64 eps)) eps) eps)) eps) #s(literal 1 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1)))
(*.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps))) eps)) 1)))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) eps)) eps))) (pow.f64 eps #s(literal 5 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (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 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal -2 binary64) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
(+.f64 (/.f64 (fma.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 (*.f64 (sin.f64 eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal -2 binary64) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps)) (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal -2 binary64) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) eps) (neg.f64 (*.f64 (sin.f64 eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (fma.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal -2 binary64) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))) eps) (/.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (cos.f64 eps))) eps)))) eps)) eps) #s(literal 1 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1)))
(*.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps))) (pow.f64 eps #s(literal 5 binary64)))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)

rewrite266.0ms (1.4%)

Memory
4.4MiB live, 331.9MiB allocated
Rules
4 768×lower-/.f32
4 762×lower-/.f64
4 318×lower-*.f32
4 310×lower-*.f64
2 812×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041290
073210
1313182
22455182
08310182
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 021
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps 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 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(-.f64 eps (tan.f64 eps))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) (*.f64 (*.f64 eps eps) eps) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) (*.f64 (*.f64 eps eps) eps) #s(literal -1/8 binary64))) #s(literal -1 binary64))
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(exp.f64 (+.f64 (log.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (log.f64 eps) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 3 binary64) (log.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))))
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)))
(*.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (tan.f64 eps)) eps)))
(*.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))))
(pow.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)))) (neg.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 (neg.f64 (tan.f64 eps)) eps)) (*.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps) (*.f64 eps eps))) (*.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps) (-.f64 (neg.f64 (tan.f64 eps)) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 eps) eps) (+.f64 (tan.f64 eps) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) (*.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (neg.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 eps (neg.f64 (tan.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 eps)) eps)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 eps (neg.f64 (tan.f64 eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (neg.f64 (tan.f64 eps)) eps))
(/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 eps)) eps))))
(/.f64 (fma.f64 (*.f64 eps 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 (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (sin.f64 eps) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)
(fma.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) eps)
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (/.f64 (sin.f64 eps) #s(literal -1 binary64)) eps)
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps)
(fma.f64 (neg.f64 (tan.f64 eps)) #s(literal 1 binary64) eps)
(fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps)
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (/.f64 (sin.f64 eps) #s(literal 1 binary64)) eps)
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
(fma.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 eps)) eps)
(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (neg.f64 (tan.f64 eps)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 eps (neg.f64 (tan.f64 eps)))))
(-.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 (neg.f64 (tan.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (neg.f64 (tan.f64 eps)) eps)))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))))
(-.f64 eps (tan.f64 eps))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 eps (neg.f64 (tan.f64 eps)))

eval161.0ms (0.9%)

Memory
7.1MiB live, 269.8MiB allocated
Compiler

Compiled 65 148 to 2 897 computations (95.6% saved)

prune229.0ms (1.2%)

Memory
0.4MiB live, 305.9MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 36761 373
Fresh213
Picked145
Done000
Total1 370111 381
Accuracy
100.0%
Counts
1 381 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.0%
(/.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) eps)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -2 binary64)) (neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) #s(literal 1 binary64)))) (-.f64 eps (tan.f64 eps)))
1.9%
(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
1.6%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
1.5%
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
3.1%
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
1.7%
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
99.7%
#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
99.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 561 to 225 computations (59.9% saved)

simplify178.0ms (1%)

Memory
6.5MiB live, 160.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 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 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
cost-diff320
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
cost-diff0
(sin.f64 eps)
cost-diff0
(-.f64 eps (sin.f64 eps))
cost-diff0
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
cost-diff0
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
cost-diff0
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)))
cost-diff0
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (-.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))
cost-diff0
#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
cost-diff0
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps))
cost-diff0
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
Rules
7 660×lower-fma.f32
7 640×lower-fma.f64
4 952×lower-*.f32
4 940×lower-*.f64
3 290×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066672
0111672
1215620
2511573
32285565
08751559
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(*.f64 eps eps)
eps
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/4 binary64)
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps 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))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64))
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
(*.f64 eps eps)
eps
#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 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
#s(literal -1 binary64)
(cos.f64 eps)
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(*.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)
(neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/4 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) eps) (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(*.f64 eps eps)
eps
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/4 binary64)
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (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 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)) (-.f64 eps (tan.f64 eps)))
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)))
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64))
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
(*.f64 eps eps)
eps
#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 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.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 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.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)
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(*.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)
(neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)

localize1.1s (6%)

Memory
-48.6MiB live, 1 225.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy20.652066484620757
(-.f64 eps (sin.f64 eps))
accuracy28.336223173564676
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))
accuracy40.618236411416795
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
accuracy59.3291674504332
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
accuracy0.01171875
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
accuracy20.652066484620757
(-.f64 eps (sin.f64 eps))
accuracy20.678046562820015
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
accuracy40.618236411416795
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
accuracy0.13671875
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
accuracy0.3359375
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
accuracy20.652910231995694
(-.f64 eps (tan.f64 eps))
accuracy40.618236411416795
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
accuracy0
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
accuracy0
(*.f64 eps eps)
accuracy0.19040697832828374
#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
accuracy0.02845860241743066
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
accuracy0.09375
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps))
accuracy0.14453125
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
accuracy0.20703125
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
Samples
663.0ms125×2valid
187.0ms49×3valid
100.0ms77×1valid
2.0ms0valid
Compiler

Compiled 615 to 69 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 894.0ms
ival-div: 287.0ms (32.1% of total)
ival-tan: 149.0ms (16.7% of total)
adjust: 106.0ms (11.9% of total)
ival-mult: 94.0ms (10.5% of total)
ival-sin: 80.0ms (8.9% of total)
const: 45.0ms (5% of total)
ival-add: 40.0ms (4.5% of total)
ival-cos: 37.0ms (4.1% of total)
ival-pow2: 33.0ms (3.7% of total)
ival-sub: 11.0ms (1.2% of total)
ival-pow: 8.0ms (0.9% of total)
ival-neg: 3.0ms (0.3% of total)
exact: 1.0ms (0.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.2%)

Memory
2.5MiB live, 82.7MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) (patch #s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#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 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (patch #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.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 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) (patch (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #<representation binary64>) () ())
#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (patch (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())
Outputs
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#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (taylor -inf eps) (#s(alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) (patch (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
9.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) (/ (+ (* (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) eps) -1/4) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (+ (* (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) eps) -1/4) (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* (/ -1 (cos eps)) (sin eps)) eps) (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (- eps (sin eps)) (sin eps) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps)))) (/ (- eps (sin eps)) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps))))) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (- eps (tan eps)) (/ -1 (cos eps)) (/ (pow (tan eps) 2) (+ (tan eps) eps)))
5.0ms
eps
@-inf
((/ (- eps (sin eps)) (- eps (tan eps))) (/ (+ (* (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) eps) -1/4) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (+ (* (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) eps) -1/4) (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* (/ -1 (cos eps)) (sin eps)) eps) (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (- eps (sin eps)) (sin eps) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps)))) (/ (- eps (sin eps)) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps))))) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (- eps (tan eps)) (/ -1 (cos eps)) (/ (pow (tan eps) 2) (+ (tan eps) eps)))
3.0ms
eps
@0
((/ (- eps (sin eps)) (- eps (tan eps))) (/ (+ (* (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) eps) -1/4) (+ (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2)) (+ (* (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) eps) -1/4) (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps)) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* (/ -1 (cos eps)) (sin eps)) eps) (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (- eps (sin eps)) (sin eps) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps)))) (/ (- eps (sin eps)) (+ (* (* eps eps) (/ 1 (+ (tan eps) eps))) (neg (/ (pow (tan eps) 2) (+ (tan eps) eps))))) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (- eps (tan eps)) (/ -1 (cos eps)) (/ (pow (tan eps) 2) (+ (tan eps) eps)))

simplify146.0ms (0.8%)

Memory
11.0MiB live, 243.8MiB allocated
Algorithm
egg-herbie
Rules
7 140×lower-fma.f64
7 140×lower-fma.f32
4 428×lower-*.f64
4 428×lower-*.f32
3 528×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05984719
118554255
264904083
083813903
Stop Event
iter limit
node limit
Counts
264 → 253
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)
-1/2
(- (* 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)
-1/4
(- (* 81/1600 (pow eps 4)) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)
(- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)
(* 81/1600 (pow eps 3))
(* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
-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)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(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)
(* 1/6 (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))))
(* 1/6 (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))))
(* 1/6 eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -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))
-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)
(* 1/6 (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 (* -1/6 (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))))
(* -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))
-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)
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* -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))
-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)
(* 1/2 eps)
(* eps (+ 1/2 (* 1/4 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* 41/360 (pow eps 2))))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/4 (* (pow eps 2) (+ 41/360 (* 149/3024 (pow eps 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))))))
(* 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))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 11))
(* (pow eps 11) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 11) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
1
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (pow eps 2))) (/ (sin eps) eps))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (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)
1
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (pow eps 2))) (/ (sin eps) eps))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)))))))))))
eps
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (* (sin eps) (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (/ (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps)))) (pow eps 3)))))))))
(* -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 7))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
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))))))
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))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (cos eps))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 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)))))
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))))))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)
(/ (- (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) 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)))
(* 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))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 11))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000)))
(* -1 (* (pow eps 11) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
(* -1 (* (pow eps 11) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))))))
1
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
(* 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)
1
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
eps
(* -1 (* eps (- (* -1 (/ (- (sin eps) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sin eps) 3)) (+ (* -2 (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))))) (+ (* 2 (pow (sin eps) 3)) (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps))))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(* -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)))))))
(* -1/362880 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
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 (* -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)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (cos eps))) (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) eps))) eps)))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* 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)))))
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 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 81/1600 (pow eps 4)) 1/4)
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))
(- (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2)))) 1/4)
(fma.f64 (fma.f64 #s(literal -243/56000 binary64) (*.f64 eps eps) #s(literal 81/1600 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -1/4 binary64))
(- (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000)))) 1/4)
(fma.f64 (fma.f64 (fma.f64 #s(literal 3159/15680000 binary64) (*.f64 eps eps) #s(literal -243/56000 binary64)) (*.f64 eps eps) #s(literal 81/1600 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -1/4 binary64))
(* 81/1600 (pow eps 3))
(*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 81/1600 binary64))
(* (pow eps 3) (+ 81/1600 (* -243/56000 (pow eps 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -243/56000 binary64) (*.f64 eps eps) #s(literal 81/1600 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 3159/15680000 binary64) (*.f64 eps eps) #s(literal -243/56000 binary64)) (*.f64 eps eps) #s(literal 81/1600 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps) #s(literal 3159/15680000 binary64)) (*.f64 eps eps) #s(literal -243/56000 binary64)) (*.f64 eps eps) #s(literal 81/1600 binary64)) eps) (*.f64 eps eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 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)
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* 1/6 (pow eps 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(* 1/6 eps)
(*.f64 #s(literal 1/6 binary64) eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(* -1/3 (pow eps 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 1/6 (pow eps 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) eps))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
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(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (cos eps))) (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (cos.f64 eps)) (neg.f64 eps))) eps)) eps))
(* 27/112000 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 27/112000 binary64))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) (pow.f64 eps #s(literal 5 binary64)))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps)) eps)
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 4 binary64)) eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))
(/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (*.f64 eps (*.f64 (pow.f64 (cos.f64 eps) #s(literal 5 binary64)) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 4 binary64)) eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)

rewrite295.0ms (1.6%)

Memory
0.7MiB live, 322.5MiB allocated
Rules
5 132×lower-*.f32
5 120×lower-*.f64
4 820×lower-fma.f32
4 800×lower-fma.f64
2 888×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066542
0111510
1491377
23774365
08515356
Stop Event
iter limit
node limit
iter limit
Counts
22 → 902
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps))
#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps 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))
(*.f64 eps eps)
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(-.f64 eps (tan.f64 eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (+.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/4 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal -1/4 binary64)) (fma.f64 (*.f64 eps (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal -1/4 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
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(/.f64 (fma.f64 eps eps (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (neg.f64 (tan.f64 eps))))
(/.f64 (fma.f64 eps eps (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (*.f64 (-.f64 eps (tan.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))) (/.f64 (-.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps)))
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(/.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps) #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 eps) eps) (fma.f64 eps eps (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (tan.f64 eps) eps)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps)) (*.f64 (-.f64 eps (tan.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (-.f64 (tan.f64 eps) eps) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (-.f64 (tan.f64 eps) eps) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) eps)
(fma.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal -1 binary64) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 eps) eps))) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (*.f64 eps eps) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (sin.f64 eps)) eps)
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps)
(fma.f64 (tan.f64 eps) (/.f64 (tan.f64 eps) (neg.f64 (+.f64 (tan.f64 eps) eps))) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps)
(fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(-.f64 (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps #s(literal 0 binary64)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))) (/.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -2 binary64))) (/.f64 (-.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))))
(-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 eps) eps))
(-.f64 (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) (/.f64 (*.f64 eps eps) (neg.f64 (+.f64 (tan.f64 eps) eps))))
(-.f64 eps (tan.f64 eps))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(+.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(+.f64 eps (neg.f64 (tan.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))
(pow.f64 (/.f64 (*.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 eps) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (cos.f64 eps))))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 eps))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (-.f64 (tan.f64 eps) eps))
(*.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)))
(*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 eps) eps))))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (pow.f64 (pow.f64 (tan.f64 eps) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(*.f64 (tan.f64 eps) (/.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps)))
(*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))))
(pow.f64 (/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (tan.f64 eps) eps))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(exp.f64 (fma.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64) (*.f64 (log.f64 (+.f64 (tan.f64 eps) eps)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 (tan.f64 eps) eps)) #s(literal -1 binary64) (*.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval241.0ms (1.3%)

Memory
21.8MiB live, 284.3MiB allocated
Compiler

Compiled 58 364 to 2 824 computations (95.2% saved)

prune265.0ms (1.4%)

Memory
-68.2MiB live, 265.3MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1 48841 492
Fresh112
Picked325
Done134
Total1 493101 503
Accuracy
100.0%
Counts
1 503 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.9%
(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
2.0%
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
3.5%
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
1.7%
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
1.8%
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
99.7%
#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))))
99.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 469 to 211 computations (55% saved)

simplify227.0ms (1.2%)

Memory
34.7MiB live, 179.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (sin.f64 eps) eps)
cost-diff384
(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
cost-diff14976
(fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))))
cost-diff20480
(/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
cost-diff0
(-.f64 eps (sin.f64 eps))
cost-diff0
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
cost-diff384
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps)))
cost-diff6912
(fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
cost-diff0
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
cost-diff0
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)))
cost-diff0
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
cost-diff0
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
cost-diff0
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)))
cost-diff0
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
cost-diff640
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))
Rules
13 770×lower-fma.f32
13 748×lower-fma.f64
5 176×lower-*.f32
5 152×lower-*.f64
4 478×lower-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0791100
01441089
1292955
2779877
33265846
08543846
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
#s(literal 27/112000 binary64)
(*.f64 eps eps)
eps
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64))
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
(*.f64 eps eps)
eps
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(neg.f64 eps)
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps))
(sin.f64 eps)
(*.f64 (cos.f64 eps) eps)
(cos.f64 eps)
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64))
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
(*.f64 eps eps)
eps
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(/.f64 eps (+.f64 (tan.f64 eps) eps))
(+.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))
(neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps)))
(fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))
(*.f64 eps eps)
(neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))
(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
(/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
(fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))))
(+.f64 (sin.f64 eps) eps)
(sin.f64 eps)
eps
(*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps))
(*.f64 (*.f64 eps eps) eps)
(*.f64 eps eps)
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)
(*.f64 (*.f64 (*.f64 eps eps) eps) eps)
(*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(pow.f64 (sin.f64 eps) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))
(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
#s(literal 27/112000 binary64)
(*.f64 eps eps)
eps
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)) #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))))
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)))
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64))
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
(*.f64 eps eps)
eps
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))
#s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(neg.f64 eps)
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps))
(sin.f64 eps)
(*.f64 (cos.f64 eps) eps)
(cos.f64 eps)
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)))
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64))
(fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
(*.f64 eps eps)
eps
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(/.f64 eps (+.f64 (tan.f64 eps) eps))
(+.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))
(neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps)) (-.f64 eps (sin.f64 eps))) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps)))
(*.f64 (*.f64 (/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)))) (*.f64 (+.f64 (tan.f64 eps) eps) (+.f64 (tan.f64 eps) eps))) eps) eps)
(fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))))
#s(literal 1 binary64)
(+.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))
(*.f64 eps eps)
(neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))
(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
(/.f64 (fma.f64 (*.f64 eps eps) eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (*.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 eps eps) eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))))
(*.f64 (fma.f64 (*.f64 eps eps) eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(+.f64 (sin.f64 eps) eps)
(sin.f64 eps)
eps
(*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps))
(*.f64 (*.f64 (sin.f64 eps) eps) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) eps)
(*.f64 eps eps)
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)
(*.f64 (*.f64 (*.f64 eps eps) eps) eps)
(*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(pow.f64 (sin.f64 eps) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))
(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

localize1.1s (5.8%)

Memory
8.1MiB live, 1 584.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy11.863972558946838
(fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))))
accuracy20.652910231995694
(-.f64 eps (tan.f64 eps))
accuracy40.618236411416795
(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
accuracy51.993686907379725
(/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
accuracy20.652066484620757
(-.f64 eps (sin.f64 eps))
accuracy28.22860889403289
(/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))
accuracy28.528532506379904
(*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
accuracy40.618236411416795
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
accuracy0.3359375
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
accuracy20.57923395889929
(fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
accuracy28.336223173564676
(/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))
accuracy40.618236411416795
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
accuracy0.13671875
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
accuracy0.3359375
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
accuracy20.656194937052934
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
accuracy40.618236411416795
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
accuracy0.0234375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))
accuracy0.02845860241743066
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))))
accuracy0.20703125
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
Samples
613.0ms128×2valid
225.0ms48×3valid
120.0ms75×1valid
3.0ms0valid
Compiler

Compiled 1 033 to 78 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 827.0ms
ival-tan: 298.0ms (36% of total)
ival-mult: 118.0ms (14.3% of total)
ival-sin: 100.0ms (12.1% of total)
ival-div: 79.0ms (9.6% of total)
adjust: 66.0ms (8% of total)
ival-add: 48.0ms (5.8% of total)
const: 38.0ms (4.6% of total)
ival-cos: 35.0ms (4.2% of total)
ival-pow2: 15.0ms (1.8% of total)
ival-sub: 15.0ms (1.8% of total)
ival-pow: 10.0ms (1.2% of total)
ival-neg: 4.0ms (0.5% of total)
exact: 1.0ms (0.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series90.0ms (0.5%)

Memory
-3.9MiB live, 73.3MiB allocated
Counts
24 → 288
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) (patch (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))) (patch (/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (patch #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))) (patch (/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (patch (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps)))) (patch (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps)))) #<representation binary64>) () ())
#s(alt (-.f64 eps (sin.f64 eps)) (patch (-.f64 eps (sin.f64 eps)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (patch (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (patch (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (patch (/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) #<representation binary64>) () ())
#s(alt (+.f64 (sin.f64 eps) eps) (patch (+.f64 (sin.f64 eps) eps) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) (patch (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) (patch (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (patch (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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 #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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 #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) (patch #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -9/10 (pow eps 2)) 2) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9/40 (pow eps 2)) 1/2) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #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 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow eps 3)) (taylor 0 eps) (#s(alt (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) (patch (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) (taylor 0 eps) (#s(alt (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) (patch (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) 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 (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) (patch (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) 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 (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) (patch (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) #<representation binary64>) () ())) ())
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#s(alt eps (taylor -inf eps) (#s(alt (-.f64 eps (tan.f64 eps)) (patch (-.f64 eps (tan.f64 eps)) #<representation binary64>) () ())) ())
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#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

3 calls:

TimeVariablePointExpression
38.0ms
eps
@inf
((/ 1 (/ 1 (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (/ (- eps (sin eps)) (- eps (tan eps))) (/ 1 (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (+ (* (neg eps) (/ (sin eps) (* (cos eps) eps))) eps) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (+ (* (/ eps (+ (tan eps) eps)) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps)))) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (/ (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (* (/ (+ (tan eps) eps) (* eps eps)) (+ (tan eps) eps))) (/ (- eps (sin eps)) (/ (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (* (/ (+ (tan eps) eps) (* eps eps)) (+ (tan eps) eps)))) (- eps (sin eps)) (/ (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (/ (/ (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (+ (sin eps) eps) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps)) (+ (* (/ eps (+ (tan eps) eps)) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps))) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2))) (/ (+ (tan eps) eps) (* eps eps)) (- eps (tan eps)))
11.0ms
eps
@-inf
((/ 1 (/ 1 (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (/ (- eps (sin eps)) (- eps (tan eps))) (/ 1 (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (+ (* (neg eps) (/ (sin eps) (* (cos eps) eps))) eps) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (+ (* (/ eps (+ (tan eps) eps)) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps)))) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (/ (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (* (/ (+ (tan eps) eps) (* eps eps)) (+ (tan eps) eps))) (/ (- eps (sin eps)) (/ (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (* (/ (+ (tan eps) eps) (* eps eps)) (+ (tan eps) eps)))) (- eps (sin eps)) (/ (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (/ (/ (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (+ (sin eps) eps) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps)) (+ (* (/ eps (+ (tan eps) eps)) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps))) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2))) (/ (+ (tan eps) eps) (* eps eps)) (- eps (tan eps)))
4.0ms
eps
@0
((/ 1 (/ 1 (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (/ (- eps (sin eps)) (- eps (tan eps))) (/ 1 (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) (+ (* (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (+ (* (neg eps) (/ (sin eps) (* (cos eps) eps))) eps) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (* (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (* eps eps)) (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (+ (* (/ eps (+ (tan eps) eps)) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps)))) (* (+ (* (+ (* (+ (* -1/362880 (* eps eps)) 1/5040) (* eps eps)) -1/120) (* eps eps)) 1/6) eps) (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (/ (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (* (/ (+ (tan eps) eps) (* eps eps)) (+ (tan eps) eps))) (/ (- eps (sin eps)) (/ (+ (* 1 (+ (tan eps) eps)) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2)))) (* (/ (+ (tan eps) eps) (* eps eps)) (+ (tan eps) eps)))) (- eps (sin eps)) (/ (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (/ (/ (+ (* (+ (sin eps) eps) (* (sin eps) (* (* eps eps) eps))) (- (* (* (* (* eps eps) eps) eps) eps) (* (pow (sin eps) 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (+ (sin eps) eps) (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps)) (+ (* (/ eps (+ (tan eps) eps)) eps) (/ (neg (pow (tan eps) 2)) (+ (tan eps) eps))) (* (/ (+ (tan eps) eps) (* eps eps)) (neg (pow (tan eps) 2))) (/ (+ (tan eps) eps) (* eps eps)) (- eps (tan eps)))

simplify186.0ms (1%)

Memory
0.9MiB live, 242.8MiB allocated
Algorithm
egg-herbie
Rules
8 636×lower-fma.f64
8 636×lower-fma.f32
5 726×lower-*.f64
5 726×lower-*.f32
4 480×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08176794
125116097
084775850
Stop Event
iter limit
node limit
Counts
288 → 270
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)
-1/2
(- (* 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)
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 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)
(* -1/3 (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))
-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)
(* 1/6 (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))))
(* 1/6 (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))))
-1/2
(- (* 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)
(* 1/6 eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -4/3 (pow eps 3))
(* (pow eps 3) (- (* -44/45 (pow eps 2)) 4/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -115/189 (pow eps 2)) 44/45)) 4/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -4918/14175 (pow eps 2)) 115/189)) 44/45)) 4/3))
(* -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))
-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)
(* 1/6 (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))))
(* 1/6 (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))))
(* 3/2 (pow eps 7))
(* (pow eps 7) (+ 3/2 (* -23/40 (pow eps 2))))
(* (pow eps 7) (+ 3/2 (* (pow eps 2) (- (* 611/5040 (pow eps 2)) 23/40))))
(* (pow eps 7) (+ 3/2 (* (pow eps 2) (- (* (pow eps 2) (+ 611/5040 (* -1513/86400 (pow eps 2)))) 23/40))))
-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)
(* 2 eps)
(* eps (+ 2 (* -1/6 (pow eps 2))))
(* eps (+ 2 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* -1/2 eps)
(* eps (- (* -1/4 (pow eps 2)) 1/2))
(* eps (- (* (pow eps 2) (- (* -41/360 (pow eps 2)) 1/4)) 1/2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -149/3024 (pow eps 2)) 41/360)) 1/4)) 1/2))
(* -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))
(* -2 eps)
(* eps (- (* -5/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -10/9 (pow eps 2)) 5/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -626/945 (pow eps 2)) 10/9)) 5/3)) 2))
(/ 2 eps)
(/ (+ 2 (* 1/3 (pow eps 2))) eps)
(/ (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))) eps)
(/ (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))) 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))
(* 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))))))
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))))))
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (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))))))
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))))))
1
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (pow eps 2))) (/ (sin eps) eps))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)))))))))))
eps
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (* (sin eps) (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (/ (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps)))) (pow eps 3)))))))))
(* -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
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (pow eps 2))) (/ (sin eps) eps))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)))))))))))
(* -1/362880 (pow eps 7))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
eps
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* eps (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps)))))))
eps
(* eps (- (+ 1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) (* eps (cos eps))))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps)))))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))
1
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* 2 (/ (sin eps) (* eps (cos eps)))))) (/ (sin eps) (* eps (cos eps))))
(- (+ 1 (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (sin eps) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps))))))
(- (+ 1 (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (* (sin eps) (- (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (cos eps))))) (* (pow eps 3) (cos eps))) (/ (* (sin eps) (- (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))) (* 2 (/ (sin eps) eps))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (* (sin eps) (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (* 2 (sin eps)))) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (/ (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (/ (sin eps) eps)))
(* (pow eps 5) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
(* (pow eps 5) (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))
1
(- (+ 1 (/ (sin eps) eps)) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (pow eps 2))) (/ (sin eps) eps))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) eps))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (/ (sin eps) eps))) (+ (* -2 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* (pow eps 3) (cos eps)))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps)))) (pow eps 3))) (+ (* 2 (/ (sin eps) eps)) (+ (* 2 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 2 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 3)) (/ (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) (pow eps 2)))))))))))
eps
(* eps (+ 1 (/ (sin eps) eps)))
(* eps (+ 1 (/ (sin eps) eps)))
(* eps (+ 1 (/ (sin eps) eps)))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (+ (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))))) eps)
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))))))
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
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))))))
(* 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))))))
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)))
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (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))))))
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 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
eps
(* -1 (* eps (- (* -1 (/ (- (sin eps) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sin eps) 3)) (+ (* -2 (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))))) (+ (* 2 (pow (sin eps) 3)) (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps))))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(* -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)))))))
1
(+ 1 (* -1 (/ (- (* -1 (sin eps)) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (pow (sin eps) 2) (+ (* -1 (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (* -1 (sin eps)) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (* -1 (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (/ (pow (sin eps) 2) (cos eps))))))) eps))) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (sin eps)) (* -1 (/ (- (+ (* -1 (/ (- (pow (sin eps) 3) (+ (* -1 (* (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (/ (pow (sin eps) 2) (cos eps)))) (- (* -1 (sin eps)) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (+ (* -1 (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (pow (sin eps) 2) (+ (* -1 (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (* -1 (sin eps)) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (* -1 (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (/ (pow (sin eps) 2) (cos eps))))))))) (* -1 (+ (* -1 (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) (* 2 (pow (sin eps) 3))))))) eps)) (pow (sin eps) 2)) (+ (* -1 (* (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))) (- (* -1 (sin eps)) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))))) (* -1 (+ (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (* 2 (/ (pow (sin eps) 2) (cos eps))))))) eps))) (* -1 (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (sin eps))))) eps)))
(* -1/362880 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
eps
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))
eps
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
1
(- (+ 1 (* -1 (/ (+ (sin eps) (* -2 (/ (sin eps) (cos eps)))) eps))) (/ (sin eps) (* eps (cos eps))))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (* -1 (+ (sin eps) (* -2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))) eps))) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* -1 (* eps (- (* -1 (/ (- (sin eps) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sin eps) 3)) (+ (* -2 (* (sin eps) (- (* -1 (pow (sin eps) 2)) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))))) (+ (* 2 (pow (sin eps) 3)) (* (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)) (- (sin eps) (* 2 (sin eps))))))) eps)) (* -1 (pow (sin eps) 2))) (+ (* -2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* -1 (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))))) eps))) (* 2 (sin eps))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (sin eps) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) eps)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps))) eps)) 1)))
1
(- (+ 1 (/ (sin eps) eps)) (* -1 (/ (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
eps
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) 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 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) 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) 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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -9/10 (pow eps 2)) 2)
(fma.f64 #s(literal -9/10 binary64) (*.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(fma.f64 (fma.f64 #s(literal -513/1400 binary64) (*.f64 eps eps) #s(literal -9/10 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -297/2000 binary64) (*.f64 eps eps) #s(literal -513/1400 binary64)) (*.f64 eps eps) #s(literal -9/10 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* -1/3 (pow eps 3))
(*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) (*.f64 eps eps))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
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eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
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(* eps (+ 1 (* -1 (/ (sin eps) eps))))
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(* eps (+ 1 (* -1 (/ (sin eps) eps))))
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eps
(* eps (- (+ 1 (/ (sin eps) eps)) (* 2 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* eps (- (+ 1 (+ (* -1 (/ (+ (* 2 (* (sin eps) (- (sin eps) (* 2 (sin eps))))) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))) (* 2 (/ (sin eps) eps))))
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(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (/ (sin eps) eps)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))
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(* (pow eps 5) (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))))
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1
#s(literal 1 binary64)
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eps
(* eps (+ 1 (/ (sin eps) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) eps eps)
(* eps (+ 1 (/ (sin eps) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) eps eps)
(* eps (+ 1 (/ (sin eps) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) eps eps)
(* 27/112000 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
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(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
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(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
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(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (+ (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))))) eps)
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eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) (neg.f64 eps) eps)
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(+ 1 (* -1 (/ (- (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) eps))) (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 eps)) (+.f64 (neg.f64 (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fma.f64 (fma.f64 (sin.f64 eps) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 eps)) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) eps))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) (* -1 (/ (pow (sin eps) 3) eps))) (+ (* -1 (/ (+ (* -2 (pow (sin eps) 3)) (/ (* (sin eps) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (cos eps))) eps)) (+ (/ (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps))))))))) eps) (/ (* (+ (* -2 (/ (pow (sin eps) 2) (cos eps))) (+ (* 2 (pow (sin eps) 2)) (pow (sin eps) 2))) (- (sin eps) (* -1 (+ (* -2 (sin eps)) (/ (sin eps) (cos eps)))))) eps)))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (+.f64 (neg.f64 (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (neg.f64 eps)) (-.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 (neg.f64 (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (sin.f64 eps) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))))) (fma.f64 (fma.f64 (sin.f64 eps) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 (neg.f64 (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (sin.f64 eps) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))))) eps) (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 eps)) (/.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (cos.f64 eps))) (neg.f64 eps))))) eps)) eps))
eps
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (neg.f64 eps)) #s(literal 1 binary64)))
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (neg.f64 eps)) #s(literal 1 binary64)))
(* -1 (* eps (- (* -1 (/ (sin eps) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (neg.f64 eps)) #s(literal 1 binary64)))
(* 27/112000 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 27/112000 binary64))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) eps))) (neg.f64 eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 4 binary64)) eps))) eps)) (neg.f64 eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 5 binary64)) eps))) eps)) eps)) (neg.f64 eps))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps))
(* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)
(* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)
(* -1 (/ (+ (/ (pow (sin eps) 2) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps))
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps (neg.f64 eps)))

rewrite281.0ms (1.5%)

Memory
41.5MiB live, 229.8MiB allocated
Rules
5 458×lower-*.f32
5 434×lower-*.f64
4 754×lower-fma.f32
4 732×lower-fma.f64
2 442×lower-pow.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079688
0144659
1605530
24825526
08254526
Stop Event
iter limit
node limit
iter limit
Counts
24 → 767
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
#s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps)
(fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
(-.f64 eps (sin.f64 eps))
(/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
(fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))))
(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
(+.f64 (sin.f64 eps) eps)
(*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))
(fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))
(-.f64 eps (tan.f64 eps))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))
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(fma.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (tan.f64 eps) #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
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(fma.f64 (/.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (-.f64 (tan.f64 eps) eps) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (*.f64 eps eps) eps (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (tan.f64 eps) eps)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps)
(fma.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 eps) eps))) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 eps #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 eps #s(literal 1 binary64) (neg.f64 (tan.f64 eps)))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(fma.f64 #s(literal 1 binary64) eps (neg.f64 (tan.f64 eps)))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))))
(-.f64 (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(-.f64 eps (tan.f64 eps))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(+.f64 (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) (*.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps))
(+.f64 eps (neg.f64 (tan.f64 eps)))

eval346.0ms (1.9%)

Memory
-33.1MiB live, 286.6MiB allocated
Compiler

Compiled 59 678 to 3 501 computations (94.1% saved)

prune213.0ms (1.2%)

Memory
14.5MiB live, 526.5MiB allocated
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New1 18461 190
Fresh000
Picked235
Done055
Total1 186141 200
Accuracy
100.0%
Counts
1 200 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.9%
(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
2.0%
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps)) (+.f64 (tan.f64 eps) eps))))
2.0%
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
1.7%
(/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 eps) eps) eps) (*.f64 eps (+.f64 (sin.f64 eps) eps))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 eps) eps) eps) (*.f64 eps (+.f64 (sin.f64 eps) eps))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))))) (-.f64 eps (tan.f64 eps)))
3.5%
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) eps) eps (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
1.8%
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) eps) eps (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
3.5%
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
1.7%
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
1.7%
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (tan.f64 eps) eps) (neg.f64 eps) eps)))
99.7%
#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))))
99.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 1 304 to 349 computations (73.2% saved)

regimes22.0ms (0.1%)

Memory
-40.1MiB live, 31.0MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (/.f64 (tan.f64 eps) eps) (neg.f64 eps) eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) eps) eps (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 eps eps))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.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))
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
(/.f64 #s(approx (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) eps) eps) eps (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 eps eps))) (fma.f64 (/.f64 eps (+.f64 (tan.f64 eps) eps)) eps (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))))
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps) (*.f64 (/.f64 (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 (tan.f64 eps) eps)) (+.f64 (tan.f64 eps) eps))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) eps)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -2 binary64)) (neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) #s(literal 1 binary64)))) (-.f64 eps (tan.f64 eps)))
(/.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (*.f64 (*.f64 eps eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
(/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 eps) eps) eps) (*.f64 eps (+.f64 (sin.f64 eps) eps))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 eps) eps) eps) (*.f64 eps (+.f64 (sin.f64 eps) eps))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))))) (-.f64 eps (tan.f64 eps)))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
Calls

2 calls:

7.0ms
eps
6.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
100.0%1eps
100.0%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
7.0MiB live, 7.0MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #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
99.9%1eps
99.9%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (* (* (* eps eps) eps) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (* (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) (pow (sin eps) 3))) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) 2)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #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)

regimes2.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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
99.0%1eps
99.0%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
11.9MiB live, 11.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02174
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

soundness420.0ms (2.3%)

Memory
-23.5MiB live, 214.7MiB 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
35649444
08475418
Stop Event
fuel
iter limit
node limit
Compiler

Compiled 77 to 35 computations (54.5% saved)

preprocess51.0ms (0.3%)

Memory
21.2MiB live, 99.8MiB allocated
Remove

(abs eps)

Compiler

Compiled 226 to 110 computations (51.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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