sintan (problem 3.4.5)

Time bar (total: 11.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze279.0ms (2.4%)

Memory
-1.7MiB live, 273.1MiB allocated; 27ms collecting garbage
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)

sample9.2s (77.7%)

Memory
97.2MiB live, 7 111.4MiB allocated; 2.5s collecting garbage
Samples
6.0s4 476×2valid
1.8s1 294×3valid
806.0ms2 418×1valid
5.0ms68×0valid
Precisions
Click to see histograms. Total time spent on operations: 8.2s
ival-tan: 4.6s (55.8% of total)
ival-sin: 2.5s (29.9% of total)
adjust: 731.0ms (8.9% of total)
ival-sub: 264.0ms (3.2% of total)
ival-div: 180.0ms (2.2% of total)
ival-assert: 3.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
Bogosity

explain793.0ms (6.7%)

Memory
48.2MiB live, 847.2MiB allocated; 115ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1730-1(1.9517036453868077e-106)(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
840-1(-0.20668089175051543)(-.f64 eps (tan.f64 eps))
831(-0.05272485738639027)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/u1720
(-.f64 eps (sin.f64 eps))underflow172
(-.f64 eps (tan.f64 eps))underflow172
-.f64(-.f64 eps (sin.f64 eps))cancellation840
-.f64(-.f64 eps (tan.f64 eps))cancellation831
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
1173
283
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
519.0ms274×2valid
148.0ms88×3valid
46.0ms144×1valid
0.0ms0valid
Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 687.0ms
ival-tan: 341.0ms (49.6% of total)
ival-sin: 220.0ms (32% of total)
adjust: 92.0ms (13.4% of total)
ival-sub: 27.0ms (3.9% of total)
ival-div: 7.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess282.0ms (2.4%)

Memory
-30.7MiB live, 223.7MiB allocated; 73ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01336
13036
25036
37936
412936
525536
660536
7197136
8659236
069
0119
1179
2209
3259
4349
5569
61069
72269
86829
919099
1048429
081069
Stop Event
iter limit
node limit
iter limit
node limit
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)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

series5.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
6 → 36
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
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (- eps (sin eps)) #s(hole binary64 (* 1/6 (pow eps 3))))
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))))
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))))
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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))))))))
#s(approx (- eps (sin eps)) #s(hole binary64 eps))
#s(approx (- eps (sin eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) eps))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (- eps (tan eps)) #s(hole binary64 eps))
#s(approx (- eps (tan eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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)))))
#s(approx (- eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) eps) 1)))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
eps
@-inf
((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) eps (sin eps) (- eps (tan eps)) (tan eps))
2.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) eps (sin eps) (- eps (tan eps)) (tan eps))
1.0ms
eps
@0
((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) eps (sin eps) (- eps (tan eps)) (tan eps))

rewrite173.0ms (1.5%)

Memory
-21.4MiB live, 210.7MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208765
0216713
11202686
08326665
Stop Event
iter limit
node limit
iter limit
Counts
42 → 70
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)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (- eps (sin eps)) #s(hole binary64 (* 1/6 (pow eps 3))))
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))))
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))))
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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))))))))
#s(approx (- eps (sin eps)) #s(hole binary64 eps))
#s(approx (- eps (sin eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) eps))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (- eps (tan eps)) #s(hole binary64 eps))
#s(approx (- eps (tan eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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)))))
#s(approx (- eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) eps) 1)))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps)))) (*.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) (+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64))) (fma.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 eps (sin.f64 eps)))) (neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (*.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (*.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (neg.f64 (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 eps (sin.f64 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 eps (sin.f64 eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps (sin.f64 eps)))))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 eps (sin.f64 eps))))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps (sin.f64 eps))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps eps (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps (sin.f64 eps))))))
(-.f64 eps (sin.f64 eps))
eps
(*.f64 (pow.f64 (sin.f64 eps) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 eps) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal -1 binary64)))
(sin.f64 eps)
(exp.f64 (*.f64 (log.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (fma.f64 (tan.f64 eps) (tan.f64 eps) (*.f64 eps (tan.f64 eps))))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (tan.f64 eps) (tan.f64 eps) (*.f64 eps (tan.f64 eps)))))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (fma.f64 (tan.f64 eps) (tan.f64 eps) (*.f64 eps (tan.f64 eps))))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 eps eps (fma.f64 (tan.f64 eps) (tan.f64 eps) (*.f64 eps (tan.f64 eps))))))
(-.f64 eps (tan.f64 eps))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 eps (PI.f64)))
(tan.f64 eps)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.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))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.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)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (-.f64 (*.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)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx eps eps)
#s(approx (sin eps) eps)
#s(approx (sin eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (*.f64 (fma.f64 (-.f64 (*.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))
#s(approx (- eps (tan eps)) (*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (tan eps) eps)
#s(approx (tan eps) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (*.f64 (fma.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)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal 1 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 eps eps)) (tan.f64 eps) (neg.f64 (/.f64 (sin.f64 eps) eps))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (/.f64 (sin.f64 eps) eps))) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps) (neg.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 eps eps)) (tan.f64 eps))))))
#s(approx (- eps (sin eps)) eps)
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (- eps (tan eps)) eps)
#s(approx (- eps (tan eps)) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (tan.f64 eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps) (tan.f64 eps) (sin.f64 eps)) (tan.f64 eps)) eps) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) eps) #s(literal -1 binary64) (sin.f64 eps)) (tan.f64 eps)) eps) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (- eps (sin eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)))
#s(approx (- eps (tan eps)) (neg.f64 (*.f64 (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) eps)))

eval6.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 519 to 349 computations (77% saved)

prune3.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New72476
Fresh000
Picked011
Done000
Total72577
Accuracy
100.0%
Counts
77 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.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)))
99.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))
99.4%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
98.5%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 87 to 57 computations (34.5% saved)

series8.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Counts
22 → 57
Calls
Call 1
Inputs
#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))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.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)))
(-.f64 (*.f64 (fma.f64 (-.f64 (*.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))
(*.f64 (fma.f64 (-.f64 (*.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))
(fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (* (* eps eps) 9/40) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 -27/2800))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800)))
#s(approx (* 27/112000 (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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))))))))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* -27/2800 (pow eps 2))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) eps 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800 (/ (- 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) (* eps eps)) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 27/2800)
2.0ms
eps
@-inf
((/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) eps 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800 (/ (- 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) (* eps eps)) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 27/2800)
2.0ms
eps
@0
((/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) eps 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800 (/ (- 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) (* eps eps)) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 27/2800)

rewrite215.0ms (1.8%)

Memory
-11.6MiB live, 170.6MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02001547
02261463
110361427
083501352
Stop Event
iter limit
node limit
iter limit
Counts
79 → 324
Calls
Call 1
Inputs
#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))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.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)))
(-.f64 (*.f64 (fma.f64 (-.f64 (*.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))
(*.f64 (fma.f64 (-.f64 (*.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))
(fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (* (* eps eps) 9/40) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 -27/2800))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800)))
#s(approx (* 27/112000 (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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))))))))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* -27/2800 (pow eps 2))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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)))))
Outputs
#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 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))))
(/.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64)))))
(fma.f64 (*.f64 #s(literal 9/40 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (*.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 9/40 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(*.f64 (*.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps))
(*.f64 (*.f64 #s(literal 9/40 binary64) eps) eps)
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 9/40 binary64)))
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 9/40 binary64)))
(*.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1 binary64))
(*.f64 #s(literal 9/40 binary64) (*.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps (*.f64 eps #s(literal 9/40 binary64)))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))))
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)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (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))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal 1/2 binary64)))))))
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#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (tan.f64 eps)) (*.f64 eps eps)) (tan.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (tan.f64 eps)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps)) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (tan.f64 eps)) (*.f64 eps eps)) (tan.f64 eps)))))
#s(approx (- (* (* eps eps) 9/40) 1/2) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)))
#s(approx (- (* (* eps eps) 9/40) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/2 binary64))) eps) eps))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 9/40 binary64) #s(literal -27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 9/40 binary64) #s(literal -27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (*.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 9/40 binary64) #s(literal -27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) (*.f64 (*.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 9/40 binary64) #s(literal -27/2800 binary64)) eps) eps))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (-.f64 #s(literal 27/112000 binary64) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64)))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (*.f64 (-.f64 #s(literal 27/112000 binary64) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/112000 binary64)))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (*.f64 (-.f64 #s(literal 27/112000 binary64) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) (*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64))) eps) eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps) (tan.f64 eps) (-.f64 (sin.f64 eps) (tan.f64 eps))) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) eps)) (tan.f64 eps)) eps)))

eval50.0ms (0.4%)

Memory
35.6MiB live, 80.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 12 789 to 1 676 computations (86.9% saved)

prune12.0ms (0.1%)

Memory
-20.6MiB live, 23.3MiB allocated; 5ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4274431
Fresh000
Picked314
Done011
Total4306436
Accuracy
100.0%
Counts
436 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
99.9%
#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)))
99.7%
#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))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64))))
99.4%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
98.5%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 110 to 71 computations (35.5% saved)

series9.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Counts
22 → 64
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- 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)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)))
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 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(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))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 -1/2))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (- (* -27/2800 (pow eps 4)) 1/2)))
#s(approx (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (- (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) 1/2)))
#s(approx (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))))
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4)))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 -27/2800))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800)))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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))))))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))))
#s(approx (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))))
#s(approx (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* -27/2800 (pow eps 2))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4))))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
eps
@0
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) eps 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) (pow eps 4) 4 (+ (* 27/112000 (* eps eps)) -27/2800) 27/112000 -27/2800 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (/ (- 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))
2.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) eps 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) (pow eps 4) 4 (+ (* 27/112000 (* eps eps)) -27/2800) 27/112000 -27/2800 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (/ (- 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))
2.0ms
eps
@-inf
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) eps 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) (pow eps 4) 4 (+ (* 27/112000 (* eps eps)) -27/2800) 27/112000 -27/2800 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (/ (- 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))

rewrite197.0ms (1.7%)

Memory
-45.5MiB live, 256.3MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211722
02531629
111631574
083121548
Stop Event
iter limit
node limit
iter limit
Counts
86 → 275
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- 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)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)))
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 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(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))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 -1/2))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (- (* -27/2800 (pow eps 4)) 1/2)))
#s(approx (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (- (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) 1/2)))
#s(approx (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))))
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4)))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 -27/2800))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800)))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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))))))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))))
#s(approx (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))))
#s(approx (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (* (pow eps 4) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* -27/2800 (pow eps 2))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4))))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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)))))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
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eval57.0ms (0.5%)

Memory
15.3MiB live, 106.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 14 891 to 1 630 computations (89.1% saved)

prune11.0ms (0.1%)

Memory
25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4541455
Fresh000
Picked134
Done022
Total4556461
Accuracy
100.0%
Counts
461 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
99.9%
#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)))
99.7%
#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))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64))))
99.4%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
98.5%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 114 to 70 computations (38.6% saved)

series7.0ms (0.1%)

Memory
-44.2MiB live, 10.8MiB allocated; 4ms collecting garbage
Counts
12 → 36
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64)))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
(-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 -1/2))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (- (* -27/2800 (pow eps 4)) 1/2)))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (- (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) 1/2)))
#s(approx (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))))
#s(approx (* (* eps eps) (* eps eps)) #s(hole binary64 (pow eps 4)))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 -27/2800))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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))))))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))))
#s(approx (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
eps
@-inf
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) (* eps eps) eps 9/40 (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800) 27/112000 -27/2800 1/2)
2.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) (* eps eps) eps 9/40 (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800) 27/112000 -27/2800 1/2)
1.0ms
eps
@0
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) (* eps eps) eps 9/40 (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800) 27/112000 -27/2800 1/2)

rewrite185.0ms (1.6%)

Memory
10.9MiB live, 149.3MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01631095
0178935
1953893
08335861
Stop Event
iter limit
node limit
iter limit
Counts
48 → 247
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64)))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
(-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 -1/2))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (- (* -27/2800 (pow eps 4)) 1/2)))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (- (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) 1/2)))
#s(approx (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))))
#s(approx (* (* eps eps) (* eps eps)) #s(hole binary64 (pow eps 4)))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 -27/2800))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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))))))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(hole binary64 (* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))))
#s(approx (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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)))))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
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(fma.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -27/2800 binary64)) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)))
(-.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64))) #s(literal -27/2800 binary64)))
(-.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)) (*.f64 #s(literal 27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))))
(+.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(+.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) (fabs.f64 eps)) (fabs.f64 eps))
(*.f64 (*.f64 (*.f64 eps eps) (neg.f64 eps)) (neg.f64 eps))
(*.f64 (*.f64 eps (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64)))
(*.f64 (*.f64 (fabs.f64 eps) (neg.f64 eps)) (*.f64 (fabs.f64 eps) (neg.f64 eps)))
(*.f64 (*.f64 (fabs.f64 eps) eps) (*.f64 (fabs.f64 eps) eps))
(*.f64 (*.f64 (neg.f64 eps) (fabs.f64 eps)) (*.f64 (neg.f64 eps) (fabs.f64 eps)))
(*.f64 (*.f64 eps (fabs.f64 eps)) (*.f64 eps (fabs.f64 eps)))
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps))
(*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 eps) eps))
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) (*.f64 eps eps)))
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (*.f64 eps eps)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) eps)
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
(*.f64 eps (pow.f64 eps #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64))
(pow.f64 eps #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64))))
(fabs.f64 (pow.f64 eps #s(literal 4 binary64)))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 729/7840000 binary64) (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal -27/2800 binary64) (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))))
(/.f64 (+.f64 #s(literal -19683/21952000000 binary64) (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (+.f64 #s(literal 729/7840000 binary64) (-.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -27/2800 binary64) (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -19683/21952000000 binary64))) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal -729/313600000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -729/7840000 binary64))) (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64))) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64))))))
(/.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -729/7840000 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64)))))
(/.f64 (fma.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -19683/21952000000 binary64)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal -729/313600000 binary64)))))
(fma.f64 (*.f64 #s(literal 27/112000 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 #s(literal 27/112000 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps #s(literal -27/2800 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 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))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64))))) (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64))))))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(-.f64 #s(literal -27/2800 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 27/112000 binary64) eps)) eps))
(-.f64 #s(literal -27/2800 binary64) (*.f64 #s(literal -27/112000 binary64) (*.f64 eps eps)))
(-.f64 #s(literal -27/2800 binary64) (*.f64 (*.f64 (neg.f64 eps) eps) #s(literal 27/112000 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal -729/313600000 binary64))))) (/.f64 #s(literal -19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal -729/313600000 binary64))))))
(+.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal -27/2800 binary64))
(+.f64 #s(literal -27/2800 binary64) (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #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 #s(literal 9/40 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) #s(literal -1/2 binary64)))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) #s(literal -1/2 binary64))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 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)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) #s(literal -1/2 binary64)))))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps eps)
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) #s(literal -1/2 binary64)))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) #s(literal -1/2 binary64))))
#s(approx (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
#s(approx (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))))
#s(approx (* (* eps eps) (* eps eps)) (pow.f64 eps #s(literal 4 binary64)))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) (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 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (tan.f64 eps)) (*.f64 eps eps)) (tan.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (tan.f64 eps)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) eps) (tan.f64 eps)) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (tan.f64 eps)) (*.f64 eps eps)) (tan.f64 eps)))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) (*.f64 (-.f64 #s(literal 27/112000 binary64) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (+ (* (* eps eps) 9/40) (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64)))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) (*.f64 (-.f64 #s(literal 27/112000 binary64) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (- (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) 1/2) (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal -4 binary64)) #s(literal 1/2 binary64) #s(literal 27/2800 binary64)) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)))
#s(approx (* (* (* eps eps) (* eps eps)) (+ (* 27/112000 (* eps eps)) -27/2800)) (*.f64 (-.f64 #s(literal 27/112000 binary64) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) (*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 27/2800 binary64))) eps) eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps) (tan.f64 eps) (-.f64 (sin.f64 eps) (tan.f64 eps))) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) eps)) (tan.f64 eps)) eps)))

eval63.0ms (0.5%)

Memory
-2.4MiB live, 49.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 10 968 to 1 422 computations (87% saved)

prune8.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New3161317
Fresh000
Picked101
Done055
Total3176323
Accuracy
100.0%
Counts
323 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
99.9%
#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)))
99.7%
#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))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) (*.f64 eps eps) #s(literal -1/2 binary64))))
99.4%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
98.5%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 351 to 126 computations (64.1% saved)

regimes6.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Counts
11 → 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 (sin eps)) (- eps (tan eps))) (-.f64 (*.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))) (-.f64 (*.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 (*.f64 (fma.f64 (-.f64 (*.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 (*.f64 eps eps) #s(literal 9/40 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) (*.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) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.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:

3.0ms
eps
2.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
99.9%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
99.9%1eps
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Counts
5 → 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 (sin eps)) (- eps (tan eps))) (-.f64 (*.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))) (-.f64 (*.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
99.7%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
99.7%1eps
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
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 (sin eps)) (- eps (tan eps))) (-.f64 (*.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:

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

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
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
98.5%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
98.5%1eps
Compiler

Compiled 10 to 7 computations (30% saved)

simplify55.0ms (0.5%)

Memory
-27.5MiB live, 19.4MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02174
12774
23074
33574
44474
56574
611574
725774
877974
9400074
Stop Event
node 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)))
#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))

derivations180.0ms (1.5%)

Memory
-8.4MiB live, 84.8MiB allocated; 6ms collecting garbage
Stop Event
fuel
Compiler

Compiled 74 to 21 computations (71.6% saved)

preprocess24.0ms (0.2%)

Memory
35.3MiB live, 35.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 180 to 66 computations (63.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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