sintan (problem 3.4.5)

Time bar (total: 10.7s)

start0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

analyze250.0ms (2.3%)

Memory
24.7MiB live, 498.4MiB allocated; 71ms collecting garbage
Algorithm
1×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)

sample9.0s (84%)

Memory
-10.6MiB live, 9 118.0MiB allocated; 2.6s collecting garbage
Samples
5.6s4 446×2valid
2.5s1 466×3valid
374.0ms2 290×1valid
3.0ms54×0valid
Precisions
Click to see histograms. Total time spent on operations: 8.3s
ival-tan: 4.6s (55.7% of total)
ival-sin: 3.0s (36.8% of total)
adjust: 376.0ms (4.5% of total)
ival-sub!: 149.0ms (1.8% of total)
ival-div!: 98.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
Bogosity

preprocess46.0ms (0.4%)

Memory
-10.5MiB live, 36.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01332
14427
213627
322427
438327
585527
6224627
7400327
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶1.9%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Symmetry

(abs eps)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB 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))

rewrite180.0ms (1.7%)

Memory
27.4MiB live, 250.8MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208765
0216713
11291686
08024651
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
42 → 79
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 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) 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 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps (neg.f64 (sin.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))) (neg.f64 (+.f64 eps (sin.f64 eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (-.f64 eps (neg.f64 (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 eps (sin.f64 eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps (sin.f64 eps)))))
(neg.f64 (-.f64 (sin.f64 eps) eps))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (sin.f64 eps))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 eps (sin.f64 eps))))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps eps (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps (sin.f64 eps))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps eps (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 eps (sin.f64 eps))))))
(-.f64 eps (sin.f64 eps))
(+.f64 eps (neg.f64 (sin.f64 eps)))
eps
(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 (fma.f64 (*.f64 eps eps) eps (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (neg.f64 (tan.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps))))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 eps (neg.f64 (tan.f64 eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps)))))
(neg.f64 (-.f64 (tan.f64 eps) 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 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps))))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 eps eps (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (tan.f64 eps))))))
(-.f64 eps (tan.f64 eps))
(+.f64 eps (neg.f64 (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))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (- eps (sin eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #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)) (*.f64 (*.f64 eps eps) eps)))
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)))
#s(approx (- eps (sin eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) eps)))
#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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (- eps (tan eps)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 eps eps) eps)))
#s(approx (- eps (tan eps)) (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 (*.f64 eps eps) eps)))
#s(approx (- eps (tan eps)) (*.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 (*.f64 eps eps) eps)))
#s(approx (- eps (tan eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 (*.f64 eps eps) eps)))
#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 (+.f64 (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 (tan.f64 eps) (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 eps 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 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 (*.f64 eps eps) eps)) (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 (+.f64 (neg.f64 (/.f64 (sin.f64 eps) eps)) #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 (tan.f64 eps) (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (tan.f64 eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)) #s(literal 1 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.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(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.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)) (sin.f64 eps)) (tan.f64 eps)) eps)) #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 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) #s(literal 1 binary64)) eps)))

eval6.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 821 to 370 computations (54.9% saved)

prune3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New72476
Fresh000
Picked101
Done000
Total73477
Accuracy
100.0%
Counts
77 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶99.7%
#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)))
▶99.3%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶98.6%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 50 to 47 computations (6% saved)

series8.0ms (0.1%)

Memory
-33.7MiB live, 12.7MiB allocated; 3ms collecting garbage
Counts
16 → 45
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))) (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(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
#s(literal 27/112000 binary64)
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 (+ (* (+ (* -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 (+ (* 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) -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) #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 (+ (* 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))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) eps 9/40 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -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) (+ (* 27/112000 (* eps eps)) -27/2800) 27/112000)
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) eps 9/40 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -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) (+ (* 27/112000 (* eps eps)) -27/2800) 27/112000)
1.0ms
eps
@0
((/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) eps 9/40 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -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) (+ (* 27/112000 (* eps eps)) -27/2800) 27/112000)

rewrite143.0ms (1.3%)

Memory
36.0MiB live, 182.9MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841191
02021103
111021063
082671057
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
61 → 194
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))) (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(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
#s(literal 27/112000 binary64)
#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 (+ (* (+ (* -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 (+ (* 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) -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) #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 (+ (* 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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))) (fma.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1/4 binary64) (*.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 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 eps) eps) #s(literal 9/40 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 eps) (*.f64 eps #s(literal 9/40 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -9/40 binary64) (*.f64 eps eps)))
(+.f64 (/.f64 (*.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))) (fma.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (*.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 #s(literal -1/2 binary64) (*.f64 (*.f64 eps 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 eps #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
eps
#s(literal 9/40 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)))
(fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
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#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) (*.f64 (*.f64 #s(literal -27/2800 binary64) eps) eps))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) (*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)) #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 #s(literal 27/2800 binary64) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)) (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #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 #s(literal 27/2800 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (*.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) (*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps))
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (*.f64 eps eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (/.f64 (-.f64 (tan.f64 eps) (sin.f64 eps)) eps) #s(literal -1 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps) (tan.f64 eps) (sin.f64 eps)) (tan.f64 eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (/.f64 (-.f64 (tan.f64 eps) (+.f64 (/.f64 (fma.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) (sin.f64 eps))) eps) #s(literal -1 binary64)))

eval36.0ms (0.3%)

Memory
-35.5MiB live, 63.9MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 874 to 1 037 computations (63.9% saved)

prune9.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2605265
Fresh000
Picked134
Done000
Total2618269
Accuracy
100.0%
Counts
269 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓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)))
▶100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
✓99.3%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))))
▶100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))
▶14.8%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))))
▶46.5%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
✓98.6%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 335 to 266 computations (20.6% saved)

series23.0ms (0.2%)

Memory
-4.8MiB live, 41.9MiB allocated; 2ms collecting garbage
Counts
46 → 175
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(*.f64 eps eps)
eps
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps)))
(*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps))
(-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))
(/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))))
(*.f64 (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))
(-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))))
(+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))
(-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))
(/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
(/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))
#s(literal 27/2800 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))))
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #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) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 9/40 eps)))
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* eps (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))))
#s(approx (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))
#s(approx (+ (* (* eps eps) 27/112000) -27/2800) #s(hole binary64 -27/2800))
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Calls

3 calls:

TimeVariablePointExpression
7.0ms
eps
@0
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6.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps) eps 27/112000 -27/2800 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* (- 9/40 (/ 1/2 (* eps eps))) (* eps eps)) (- 9/40 (/ 1/2 (* eps eps))) (/ 1/2 (* eps eps)) 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (* (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (* (* (* eps eps) (* eps eps)) (* eps eps))) (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps))) (/ 9/40 (* (* eps eps) (* eps eps))) (* (* eps eps) (* eps eps)) (/ 27/2800 (* eps eps)) 27/2800 (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps))) (* (* (* eps eps) (* eps eps)) (* eps eps)) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2)) (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2 1/4 (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)))) (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 3 1/8 (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))
4.0ms
eps
@-inf
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps) eps 27/112000 -27/2800 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* (- 9/40 (/ 1/2 (* eps eps))) (* eps eps)) (- 9/40 (/ 1/2 (* eps eps))) (/ 1/2 (* eps eps)) 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (* (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (* (* (* eps eps) (* eps eps)) (* eps eps))) (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps))) (/ 9/40 (* (* eps eps) (* eps eps))) (* (* eps eps) (* eps eps)) (/ 27/2800 (* eps eps)) 27/2800 (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps))) (* (* (* eps eps) (* eps eps)) (* eps eps)) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2)) (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2 1/4 (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)))) (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 3 1/8 (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))

rewrite209.0ms (2%)

Memory
33.6MiB live, 257.8MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05396749
06095467
128285467
083635299
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
221 → 594
Calls
Call 1
Inputs
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eps
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#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 -1/2))
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#s(approx (* (- 9/40 (/ 1/2 (* eps eps))) (* eps eps)) #s(hole binary64 -1/2))
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#s(approx (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) #s(hole binary64 (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))
#s(approx (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) #s(hole binary64 (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))
#s(approx (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) #s(hole binary64 27/112000))
#s(approx (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) #s(hole binary64 (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))
#s(approx (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) #s(hole binary64 (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))
#s(approx (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps))) #s(hole binary64 (/ -27/2800 (pow eps 2))))
#s(approx (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps))) #s(hole binary64 (/ (- (* 9/40 (/ 1 (pow eps 2))) 27/2800) (pow eps 2))))
#s(approx (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) #s(hole binary64 (* 729/12544000000 (pow eps 12))))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) #s(hole binary64 (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) #s(hole binary64 (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) #s(hole binary64 (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) #s(hole binary64 (* 729/12544000000 (pow eps 12))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) #s(hole binary64 (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) #s(hole binary64 (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) #s(hole binary64 (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))))
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (+ (/ 9/40 (pow eps 4)) (* 1/2 (/ 1 (pow eps 6))))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)))) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) #s(hole binary64 (* 19683/1404928000000000 (pow eps 18))))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) #s(hole binary64 (* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) #s(hole binary64 (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) #s(hole binary64 (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) #s(hole binary64 (* 19683/1404928000000000 (pow eps 18))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) #s(hole binary64 (* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) #s(hole binary64 (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) #s(hole binary64 (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))))
#s(approx (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) #s(hole binary64 (* 729/12544000000 (pow eps 12))))
#s(approx (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) #s(hole binary64 (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))))
#s(approx (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) #s(hole binary64 (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))))
#s(approx (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) #s(hole binary64 (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))))
#s(approx (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) #s(hole binary64 (* 27/224000 (pow eps 6))))
#s(approx (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) #s(hole binary64 (* (pow eps 6) (- 27/224000 (* 27/5600 (/ 1 (pow eps 2)))))))
#s(approx (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) #s(hole binary64 (* (pow eps 6) (- (+ 27/224000 (/ 9/80 (pow eps 4))) (* 27/5600 (/ 1 (pow eps 2)))))))
#s(approx (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) #s(hole binary64 (* (pow eps 6) (- (+ 27/224000 (+ (/ 9/80 (pow eps 4)) (* 1/4 (/ 1 (pow eps 6))))) (* 27/5600 (/ 1 (pow eps 2)))))))
#s(approx (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) #s(hole binary64 (* -27/224000 (pow eps 6))))
#s(approx (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) #s(hole binary64 (* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) 27/224000))))
#s(approx (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) #s(hole binary64 (* (pow eps 6) (- (* 27/5600 (/ 1 (pow eps 2))) (+ 27/224000 (/ 9/80 (pow eps 4)))))))
#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 eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))))
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))) #s(literal 1/8 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))))
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#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) 1/4) (*.f64 (-.f64 (+.f64 #s(literal 729/12544000000 binary64) (-.f64 (/.f64 #s(literal 3159/15680000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 243/56000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))) (pow.f64 eps #s(literal 12 binary64))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 729/12544000000 binary64)))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (*.f64 (-.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (*.f64 (+.f64 #s(literal 729/12544000000 binary64) (-.f64 (/.f64 #s(literal 3159/15680000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 12 binary64))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (*.f64 (-.f64 (+.f64 #s(literal 729/12544000000 binary64) (-.f64 (/.f64 #s(literal 3159/15680000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 243/56000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))) (pow.f64 eps #s(literal 12 binary64))))
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal 27/112000 binary64)))
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal 27/112000 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #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 #s(literal 27/2800 binary64) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (+.f64 #s(literal 27/112000 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) (*.f64 eps eps)))))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (*.f64 (pow.f64 eps #s(literal 18 binary64)) #s(literal 19683/1404928000000000 binary64)))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (*.f64 (-.f64 #s(literal 19683/1404928000000000 binary64) (/.f64 #s(literal 59049/35123200000000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 18 binary64))))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (*.f64 (+.f64 #s(literal 19683/1404928000000000 binary64) (-.f64 (/.f64 #s(literal 373977/3512320000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (/.f64 #s(literal 59049/35123200000000 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 18 binary64))))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (*.f64 (-.f64 (+.f64 #s(literal 19683/1404928000000000 binary64) (-.f64 (/.f64 #s(literal 373977/3512320000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (/.f64 #s(literal 59049/35123200000000 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 177147/43904000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))) (pow.f64 eps #s(literal 18 binary64))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) (*.f64 (pow.f64 eps #s(literal 18 binary64)) #s(literal 19683/1404928000000000 binary64)))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) (*.f64 (-.f64 #s(literal 19683/1404928000000000 binary64) (/.f64 #s(literal 59049/35123200000000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 18 binary64))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) (*.f64 (+.f64 #s(literal 19683/1404928000000000 binary64) (-.f64 (/.f64 #s(literal 373977/3512320000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (/.f64 #s(literal 59049/35123200000000 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 18 binary64))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) (*.f64 (-.f64 (+.f64 #s(literal 19683/1404928000000000 binary64) (-.f64 (/.f64 #s(literal 373977/3512320000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (/.f64 #s(literal 59049/35123200000000 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 177147/43904000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))) (pow.f64 eps #s(literal 18 binary64))))
#s(approx (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 729/12544000000 binary64)))
#s(approx (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (*.f64 (-.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 12 binary64))))
#s(approx (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (*.f64 (+.f64 #s(literal 729/12544000000 binary64) (-.f64 (/.f64 #s(literal 3159/15680000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 12 binary64))))
#s(approx (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (*.f64 (-.f64 (+.f64 #s(literal 729/12544000000 binary64) (-.f64 (/.f64 #s(literal 3159/15680000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (/.f64 #s(literal 729/156800000 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 27/6400 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))) (pow.f64 eps #s(literal 12 binary64))))
#s(approx (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) (*.f64 #s(literal 27/224000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))
#s(approx (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) (*.f64 (-.f64 #s(literal 27/224000 binary64) (/.f64 #s(literal 27/5600 binary64) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))
#s(approx (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (+.f64 #s(literal 27/224000 binary64) (-.f64 (/.f64 #s(literal 9/80 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (/.f64 #s(literal 27/5600 binary64) (*.f64 eps eps))))))
#s(approx (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 9/80 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) #s(literal 27/224000 binary64)) (/.f64 #s(literal 27/5600 binary64) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))
#s(approx (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (*.f64 #s(literal -27/224000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))
#s(approx (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (*.f64 (-.f64 (/.f64 #s(literal 27/5600 binary64) (*.f64 eps eps)) #s(literal 27/224000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))
#s(approx (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 27/5600 binary64) (*.f64 eps eps)) #s(literal 27/224000 binary64)) (/.f64 #s(literal 9/80 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)) #s(literal 1 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (+.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (sin.f64 eps)) eps) (sin.f64 eps)) (cos.f64 eps))) eps)) #s(literal 1 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) eps)))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) eps)) (sin.f64 eps)) (tan.f64 eps)) eps)) #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps))))
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (neg.f64 (*.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps))))

eval143.0ms (1.3%)

Memory
-28.2MiB live, 203.9MiB allocated; 46ms collecting garbage
Compiler

Compiled 18 960 to 6 238 computations (67.1% saved)

prune26.0ms (0.2%)

Memory
-1.5MiB live, 52.0MiB allocated; 5ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 29361 299
Fresh000
Picked415
Done033
Total1 297101 307
Accuracy
100.0%
Counts
1 307 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓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)))
✓100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
✓99.3%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
14.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(approx (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))))
▶100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (fma.f64 (fma.f64 #s(literal -6561/4480000 binary64) (*.f64 eps eps) #s(literal 729/64000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))))
▶14.8%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))))
▶14.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))))
▶14.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))))
▶48.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)))
✓98.6%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 570 to 474 computations (16.8% saved)

series27.0ms (0.3%)

Memory
-4.7MiB live, 41.1MiB allocated; 3ms collecting garbage
Counts
63 → 214
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (fma.f64 (fma.f64 #s(literal -6561/4480000 binary64) (*.f64 eps eps) #s(literal 729/64000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))))
(/.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (fma.f64 (fma.f64 #s(literal -6561/4480000 binary64) (*.f64 eps eps) #s(literal 729/64000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (fma.f64 (fma.f64 #s(literal -6561/4480000 binary64) (*.f64 eps eps) #s(literal 729/64000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/8 binary64)))
(fma.f64 (fma.f64 #s(literal -6561/4480000 binary64) (*.f64 eps eps) #s(literal 729/64000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/8 binary64))
(fma.f64 #s(literal -6561/4480000 binary64) (*.f64 eps eps) #s(literal 729/64000 binary64))
#s(literal -6561/4480000 binary64)
(*.f64 eps eps)
eps
#s(literal 729/64000 binary64)
(*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))
(*.f64 (*.f64 eps eps) eps)
#s(literal -1/8 binary64)
(+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))
#s(literal 1/4 binary64)
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)))
#s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps))
(*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)
(*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps)
(-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))
(/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))
(*.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))
(+.f64 #s(literal 27/112000 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) (*.f64 eps eps)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) (*.f64 eps eps))
(-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)))
(-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
#s(literal 27/2800 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))
(*.f64 (*.f64 (*.f64 eps eps) eps) eps)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))))
#s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))
(-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (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 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64))))
(*.f64 (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))))
(+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))
(-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))
(/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))
(pow.f64 eps #s(literal 6 binary64))
#s(literal 6 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 (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)))) #s(hole binary64 -1/2))
#s(approx (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) #s(hole binary64 -1/8))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) #s(hole binary64 (- (* 729/64000 (pow eps 6)) 1/8)))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) #s(hole binary64 (- (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2)))) 1/8)))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) #s(hole binary64 (- (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000)))) 1/8)))
#s(approx (+ (* (+ (* -6561/4480000 (* eps eps)) 729/64000) (* (* (* eps eps) eps) (* (* eps eps) eps))) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* (+ (* -6561/4480000 (* eps eps)) 729/64000) (* (* (* eps eps) eps) (* (* eps eps) eps))) -1/8) #s(hole binary64 (- (* 729/64000 (pow eps 6)) 1/8)))
#s(approx (+ (* (+ (* -6561/4480000 (* eps eps)) 729/64000) (* (* (* eps eps) eps) (* (* eps eps) eps))) -1/8) #s(hole binary64 (- (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2)))) 1/8)))
#s(approx (+ (* -6561/4480000 (* eps eps)) 729/64000) #s(hole binary64 729/64000))
#s(approx (+ (* -6561/4480000 (* eps eps)) 729/64000) #s(hole binary64 (+ 729/64000 (* -6561/4480000 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (* (* eps eps) eps) (* (* eps eps) eps)) #s(hole binary64 (pow eps 6)))
#s(approx (* (* eps eps) eps) #s(hole binary64 (pow eps 3)))
#s(approx (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) #s(hole binary64 1/4))
#s(approx (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) #s(hole binary64 (+ 1/4 (* 9/80 (pow eps 2)))))
#s(approx (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) #s(hole binary64 (+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))))
#s(approx (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) #s(hole binary64 (+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) #s(hole binary64 (* 81/1600 (pow eps 4))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) #s(hole binary64 (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2))))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) #s(hole binary64 (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))))
#s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) #s(hole binary64 (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))))
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (* (* (+ (* (+ (* (* eps eps) 27/112000) -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 (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* 9/40 eps)))
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* eps (+ 9/40 (* -27/2800 (pow eps 2))))))
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Calls

3 calls:

TimeVariablePointExpression
8.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) (/ (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)))) (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (+ (* (+ (* -6561/4480000 (* eps eps)) 729/64000) (* (* (* eps eps) eps) (* (* eps eps) eps))) -1/8) (+ (* -6561/4480000 (* eps eps)) 729/64000) -6561/4480000 (* eps eps) eps 729/64000 (* (* (* eps eps) eps) (* (* eps eps) eps)) (* (* eps eps) eps) -1/8 (+ (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2))) (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) (+ (* (* eps eps) 27/112000) -27/2800) 27/112000 -27/2800 9/40 2 (- 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2)) 1/4 (* (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) -1/2) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* (* (- 9/40 (/ 1/2 (* eps eps))) eps) eps) (* (- 9/40 (/ 1/2 (* eps eps))) eps) (- 9/40 (/ 1/2 (* eps eps))) (/ 1/2 (* eps eps)) 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (* (+ 27/112000 (/ (- (- (/ 9/40 (* eps eps)) 27/2800) (/ 1/2 (* (* (* eps eps) eps) eps))) (* eps eps))) (* (* (* eps eps) eps) (* (* eps eps) eps))) (+ 27/112000 (/ (- (- (/ 9/40 (* eps eps)) 27/2800) (/ 1/2 (* (* (* eps eps) eps) eps))) (* eps eps))) (/ (- (- (/ 9/40 (* eps eps)) 27/2800) (/ 1/2 (* (* (* eps eps) eps) eps))) (* eps eps)) (- (- (/ 9/40 (* eps eps)) 27/2800) (/ 1/2 (* (* (* eps eps) eps) eps))) (- (/ 9/40 (* eps eps)) 27/2800) (/ 9/40 (* eps eps)) 27/2800 (/ 1/2 (* (* (* eps eps) eps) eps)) (* (* (* eps eps) eps) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (* (- (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (* (* (* eps eps) (* eps eps)) (* eps eps))) (- (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps))) (* (* (* eps eps) (* eps eps)) (* eps eps)) (* (* eps eps) (* eps eps)) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (* (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (pow eps 6)) (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps))) (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)) (pow eps 6) 6)
7.0ms
eps
@-inf
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6.0ms
eps
@0
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rewrite185.0ms (1.7%)

Memory
38.5MiB live, 221.2MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06158133
07096623
130736623
081016347
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
277 → 775
Calls
Call 1
Inputs
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#s(approx (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) #s(hole binary64 (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))
#s(approx (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) #s(hole binary64 (/ -27/2800 (pow eps 2))))
#s(approx (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) #s(hole binary64 (/ (- (* 9/40 (/ 1 (pow eps 2))) 27/2800) (pow eps 2))))
#s(approx (* (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (pow eps 6)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (* (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (pow eps 6)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (* (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (pow eps 6)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (* (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (pow eps 6)) #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 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) #s(hole binary64 27/112000))
#s(approx (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) #s(hole binary64 (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))
#s(approx (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) #s(hole binary64 (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))
#s(approx (- (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) #s(hole binary64 (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))
#s(approx (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) #s(hole binary64 27/112000))
#s(approx (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) #s(hole binary64 (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))))
#s(approx (+ 27/112000 (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps)))) #s(hole binary64 (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))))
#s(approx (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps))) #s(hole binary64 (/ -27/2800 (pow eps 2))))
#s(approx (- (/ 9/40 (* (* eps eps) (* eps eps))) (/ 27/2800 (* eps eps))) #s(hole binary64 (/ (- (* 9/40 (/ 1 (pow eps 2))) 27/2800) (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)))))
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))))
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))))
#s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) #s(hole binary64 (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 9/40)))))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) #s(literal -1/8 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)))))
(/.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) #s(literal -1/8 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64))))
#s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) #s(literal -1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/8 binary64)))))
(neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps))))
(fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) #s(literal -1/8 binary64))
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/8 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal 1/8 binary64))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/8 binary64))
(+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64)) (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64))) #s(literal 531441/4096000000 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))
(/.f64 (-.f64 #s(literal 531441/4096000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64)) (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64)))) (-.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64))))
(/.f64 (fma.f64 #s(literal -282429536481/89915392000000000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal 387420489/262144000000000 binary64)) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64)) (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64)) (-.f64 #s(literal 531441/4096000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64)))))
(/.f64 (+.f64 #s(literal 387420489/262144000000000 binary64) (*.f64 #s(literal -282429536481/89915392000000000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))) (+.f64 #s(literal 531441/4096000000 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64)) (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64))) (*.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64))))))
(fma.f64 (*.f64 #s(literal -6561/4480000 binary64) eps) eps #s(literal 729/64000 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64))
(fma.f64 #s(literal -6561/4480000 binary64) (*.f64 eps eps) #s(literal 729/64000 binary64))
(-.f64 #s(literal 729/64000 binary64) (*.f64 #s(literal 6561/4480000 binary64) (*.f64 eps eps)))
(+.f64 (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64)) #s(literal 729/64000 binary64))
(+.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64)))
#s(literal -6561/4480000 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 eps #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(fabs.f64 (neg.f64 (*.f64 eps eps)))
(fabs.f64 (*.f64 eps eps))
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
eps
#s(literal 729/64000 binary64)
(*.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 eps eps) eps))) (neg.f64 (neg.f64 (*.f64 (*.f64 eps eps) eps))))
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 3 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) eps))
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 eps eps)) eps)
(*.f64 (neg.f64 (*.f64 (*.f64 eps eps) eps)) (neg.f64 (*.f64 (*.f64 eps eps) eps)))
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps) eps)
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 6 binary64))
(pow.f64 (neg.f64 (*.f64 (*.f64 eps eps) eps)) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 2 binary64))
(pow.f64 eps #s(literal 6 binary64))
(fabs.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 6 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 6 binary64))))
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(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps eps) eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 6 binary64)))
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(*.f64 (fabs.f64 eps) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) (fabs.f64 eps))
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(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64))
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(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))
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#s(approx (* (- (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (* (* (* eps eps) (* eps eps)) (* eps eps))) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))
#s(approx (* (- (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (* (* (* eps eps) (* eps eps)) (* eps eps))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)))
#s(approx (- (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) #s(literal 27/112000 binary64))
#s(approx (- (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))
#s(approx (- (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64)))
#s(approx (- (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) (/ 1/2 (* (* (* eps eps) (* eps eps)) (* eps eps)))) (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 eps eps)) #s(literal 27/112000 binary64)))
#s(approx (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) #s(literal 27/112000 binary64))
#s(approx (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))
#s(approx (+ (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) 27/112000) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64)))
#s(approx (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))
#s(approx (/ (- (/ 9/40 (* eps eps)) 27/2800) (* eps eps)) (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)) #s(literal 1 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (+.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (sin.f64 eps)) eps) (sin.f64 eps)) (cos.f64 eps))) eps)) #s(literal 1 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) eps)))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) eps)) (sin.f64 eps)) (tan.f64 eps)) eps)) #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps))))
#s(approx (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) (neg.f64 (*.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps))))
#s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) eps)))

eval129.0ms (1.2%)

Memory
-1.5MiB live, 179.3MiB allocated; 79ms collecting garbage
Compiler

Compiled 16 198 to 6 787 computations (58.1% saved)

prune58.0ms (0.5%)

Memory
16.5MiB live, 62.7MiB allocated; 6ms collecting garbage
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New1 15171 158
Fresh101
Picked415
Done044
Total1 156121 168
Accuracy
100.0%
Counts
1 168 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓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)))
✓100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
✓99.3%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (fma.f64 (fma.f64 #s(literal -6561/4480000 binary64) (*.f64 eps eps) #s(literal 729/64000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/8 binary64))) (+.f64 #s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 3159/15680000 binary64) (*.f64 eps eps) #s(literal -243/56000 binary64)) (*.f64 eps eps) #s(literal 81/1600 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))))
100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) #s(literal 1/8 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))))
14.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))))
14.8%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) eps)) eps)) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))))
14.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))))
✓48.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)))
99.1%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) eps)) eps)))
98.4%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 #s(literal -1/2 binary64) eps)) eps)))
✓98.6%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 726 to 509 computations (29.9% saved)

regimes72.0ms (0.7%)

Memory
-32.0MiB live, 13.9MiB allocated; 5ms collecting garbage
Counts
23 → 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))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 #s(literal -1/2 binary64) eps)) eps)))
#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(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
#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 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
#s(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))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) eps)) eps)) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (*.f64 (-.f64 (+.f64 #s(literal 27/112000 binary64) (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (fma.f64 (fma.f64 #s(literal -6561/4480000 binary64) (*.f64 eps eps) #s(literal 729/64000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/8 binary64))) (+.f64 #s(approx (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 3159/15680000 binary64) (*.f64 eps eps) #s(literal -243/56000 binary64)) (*.f64 eps eps) #s(literal 81/1600 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (fma.f64 (fma.f64 #s(literal -6561/4480000 binary64) (*.f64 eps eps) #s(literal 729/64000 binary64)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(approx (+ (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(approx (- (pow (* (* (+ (* (+ (* (* eps eps) 27/112000) -27/2800) (* eps eps)) 9/40) eps) eps) 3) 1/8) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64) #s(literal 729/64000 binary64)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) #s(literal 1/8 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))))))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
Calls

2 calls:

64.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
5.0ms
eps
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
100.0%1eps
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
7 → 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))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 #s(literal -1/2 binary64) eps)) eps)))
#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(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
Calls

2 calls:

2.0ms
eps
2.0ms
(/.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 7 to 7 computations (0% saved)

regimes4.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Counts
6 → 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))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 #s(literal -1/2 binary64) eps)) eps)))
#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(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
Calls

2 calls:

2.0ms
eps
1.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
99.3%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
99.3%1eps
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.1b remaining (-14.8%)

Threshold costs -0.1b (-14.8%)

Counts
2 → 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))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 #s(approx (* (- 9/40 (/ 1/2 (* eps eps))) eps) (/.f64 #s(literal -1/2 binary64) eps)) eps)))
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
98.6%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
98.6%1eps
Compiler

Compiled 7 to 7 computations (0% saved)

derivations109.0ms (1%)

Memory
20.7MiB live, 74.1MiB allocated; 8ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 41 to 22 computations (46.3% saved)

preprocess40.0ms (0.4%)

Memory
-8.3MiB live, 82.2MiB allocated; 8ms collecting garbage
Remove

(abs eps)

Compiler

Compiled 179 to 152 computations (15.1% saved)

end0.0ms (0%)

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

Profiling

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