sintan (problem 3.4.5)

Time bar (total: 12.4s)

start0.0ms (0%)

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

analyze389.0ms (3.1%)

Memory
28.5MiB live, 429.9MiB allocated; 96ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.9%50.1%0%0%0%0
0%0%49.9%50.1%0%0%0%1
0%0%49.9%50.1%0%0%0%2
0%0%49.9%50.1%0%0%0%3
0%0%49.9%50.1%0%0%0%4
0%0%49.9%50.1%0%0%0%5
0%0%49.9%50.1%0%0%0%6
0%0%49.9%50.1%0%0%0%7
0%0%49.9%50.1%0%0%0%8
0%0%49.9%50.1%0%0%0%9
0%0%49.9%50.1%0%0%0%10
0%0%49.9%50.1%0%0%0%11
0%0%49.9%50.1%0%0%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.7s (78%)

Memory
71.0MiB live, 9 049.2MiB allocated; 3.1s collecting garbage
Samples
6.8s4 501×2valid
1.7s1 256×3valid
680.0ms2 447×1valid
5.0ms52×0valid
Precisions
Click to see histograms. Total time spent on operations: 8.8s
ival-tan: 4.4s (49.7% of total)
ival-sin: 2.5s (27.7% of total)
const: 702.0ms (7.9% of total)
adjust: 635.0ms (7.2% of total)
ival-sub: 343.0ms (3.9% of total)
ival-div: 218.0ms (2.5% of total)
ival-<=: 82.0ms (0.9% of total)
ival-and: 13.0ms (0.1% of total)
ival-assert: 3.0ms (0% of total)
Bogosity

explain496.0ms (4%)

Memory
16.3MiB live, 500.9MiB allocated; 58ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1660-2(-9.794112761985196e-108)(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
920-0-(-.f64 eps (tan.f64 eps))
920-0-(-.f64 eps (sin.f64 eps))
00-0-(tan.f64 eps)
00-0-eps
00-0-(sin.f64 eps)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))u/u1640
(-.f64 eps (sin.f64 eps))underflow164
(-.f64 eps (tan.f64 eps))underflow164
-.f64(-.f64 eps (sin.f64 eps))cancellation920
-.f64(-.f64 eps (tan.f64 eps))cancellation920
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
1164
292
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
313.0ms264×2valid
82.0ms86×3valid
29.0ms156×1valid
0.0ms0valid
Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 369.0ms
ival-tan: 216.0ms (58.6% of total)
ival-sin: 97.0ms (26.3% of total)
adjust: 35.0ms (9.5% of total)
ival-sub: 14.0ms (3.8% of total)
ival-div: 6.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess228.0ms (1.8%)

Memory
43.3MiB live, 205.0MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
12227
23927
36227
410327
520827
649127
7157427
8551227
069
0119
1179
2209
3259
4349
5569
61069
72269
86829
919099
1048429
081069
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Outputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

series18.0ms (0.1%)

Memory
-29.9MiB live, 11.7MiB allocated; 15ms collecting garbage
Counts
6 → 32
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
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(/ (sin eps) (cos eps))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
Calls

3 calls:

TimeVariablePointExpression
14.0ms
eps
@0
((/ (- 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))
2.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) eps (sin eps) (- eps (tan eps)) (tan eps))

simplify235.0ms (1.9%)

Memory
10.9MiB live, 150.5MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0163525
1498477
21780449
37214449
08141427
Stop Event
iter limit
node limit
Counts
32 → 31
Calls
Call 1
Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(/ (sin eps) (cos eps))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/362880 binary64) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64))) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64))) (pow.f64 eps #s(literal 3 binary64)) eps)
(* -1/3 (pow eps 3))
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(*.f64 (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) eps) eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -62/2835 binary64) (*.f64 eps eps)) #s(literal 17/315 binary64)) eps) eps) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(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)) (pow.f64 eps #s(literal 3 binary64)) eps)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(sin eps)
(sin.f64 eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 eps)) eps)
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))

rewrite183.0ms (1.5%)

Memory
20.5MiB live, 116.3MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0622
01122
14522
233422
3382022
0810622
Stop Event
iter limit
node limit
iter limit
Counts
6 → 197
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
Outputs
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(*.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
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(/.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64)))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
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(-.f64 eps (sin.f64 eps))
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eps
(sin.f64 eps)
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)))
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(*.f64 (+.f64 (tan.f64 eps) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (tan.f64 eps) eps)))
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)))) (*.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) (fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 eps) eps) (+.f64 (tan.f64 eps) eps)))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (tan.f64 eps) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps))))
(fma.f64 (/.f64 (*.f64 eps eps) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (fabs.f64 eps) (/.f64 (fabs.f64 eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(-.f64 eps (tan.f64 eps))
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(/.f64 (+.f64 (tan.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) eps) (*.f64 eps eps)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) eps) (*.f64 eps eps))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) eps) (*.f64 eps eps)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) eps) (*.f64 eps eps)))))))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) (PI.f64))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 eps))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 eps)))))
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(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 eps))))
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(neg.f64 (neg.f64 (tan.f64 eps)))
(tan.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))))
(tan.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) eps))))
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) (PI.f64))))
(tan.f64 (+.f64 (PI.f64) (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) (PI.f64))))
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64))))
(tan.f64 (+.f64 (PI.f64) (+.f64 (+.f64 (PI.f64) eps) (PI.f64))))
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) eps)))
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) eps))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) (PI.f64)) (+.f64 (PI.f64) (PI.f64))))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) (+.f64 (PI.f64) (PI.f64))))
(tan.f64 (+.f64 (+.f64 (PI.f64) eps) (+.f64 (PI.f64) (PI.f64))))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 (neg.f64 (neg.f64 eps)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) eps))
(tan.f64 eps)
(+.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 eps)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 eps)))))

eval19.0ms (0.2%)

Memory
-26.9MiB live, 20.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 6 680 to 814 computations (87.8% saved)

prune4.0ms (0%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2244228
Fresh000
Picked101
Done000
Total2254229
Accuracy
100.0%
Counts
229 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
99.6%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
98.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 78 to 55 computations (29.5% saved)

series6.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
20 → 27
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
Outputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 9/40 (pow eps 2))
(pow eps 2)
eps
(pow eps 4)
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 27/112000 (pow eps 2))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) eps 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4) 4 -27/2800 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800)) (- (* (* eps eps) 9/40) 1/2)) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 27/2800)
2.0ms
eps
@-inf
((/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) eps 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4) 4 -27/2800 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800)) (- (* (* eps eps) 9/40) 1/2)) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 27/2800)
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) 9/40) (* eps eps) eps 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4) 4 -27/2800 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800)) (- (* (* eps eps) 9/40) 1/2)) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 27/2800)

simplify163.0ms (1.3%)

Memory
11.0MiB live, 100.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108409
1310375
21086347
35827347
08266334
Stop Event
iter limit
node limit
Counts
27 → 26
Calls
Call 1
Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 9/40 (pow eps 2))
(pow eps 2)
eps
(pow eps 4)
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 27/112000 (pow eps 2))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 9/40 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(pow eps 2)
(*.f64 eps eps)
eps
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(* 27/112000 (pow eps 2))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)
(* -27/2800 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64)))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)))

rewrite105.0ms (0.8%)

Memory
-3.4MiB live, 46.3MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025146
035146
1143146
01116146
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
20 → 115
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps))
(*.f64 (*.f64 #s(literal 9/40 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(*.f64 (*.f64 #s(literal 9/40 binary64) eps) eps)
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 9/40 binary64)))
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 9/40 binary64)))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps (*.f64 #s(literal 9/40 binary64) eps))
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(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -729/7840000 binary64))) (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) #s(literal 19683/21952000000 binary64))) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))))
(/.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -729/7840000 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) #s(literal 19683/21952000000 binary64)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 (*.f64 #s(literal 27/112000 binary64) (neg.f64 eps)) (neg.f64 eps))
(*.f64 (*.f64 #s(literal 27/112000 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps)
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 27/112000 binary64)))
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 27/112000 binary64)))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
(*.f64 eps (*.f64 #s(literal 27/112000 binary64) eps))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)

eval32.0ms (0.3%)

Memory
-1.6MiB live, 45.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 7 721 to 761 computations (90.1% saved)

prune7.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2464250
Fresh000
Picked314
Done000
Total2495254
Accuracy
100.0%
Counts
254 → 5
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)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
99.6%
#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 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
98.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 103 to 67 computations (35% saved)

series13.0ms (0.1%)

Memory
-32.9MiB live, 12.9MiB allocated; 5ms collecting garbage
Counts
26 → 42
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
#s(literal 9/40 binary64)
(*.f64 eps eps)
eps
(-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 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))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
#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))
Outputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 9/40 (pow eps 2))
(pow eps 2)
eps
1/2
(+ 1/2 (* 27/2800 (pow eps 4)))
(+ 1/2 (* (pow eps 4) (+ 27/2800 (* -27/112000 (pow eps 2)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 27/112000 (pow eps 2))
(pow eps 4)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* -27/112000 (pow eps 6))
(* (pow eps 6) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))
(* (pow eps 6) (- (+ (/ 1/2 (pow eps 6)) (* 27/2800 (/ 1 (pow eps 2)))) 27/112000))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) (- (* 9/40 (* eps eps)) (- 1/2 (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4)))) (* 9/40 (* eps eps)) 9/40 (* eps eps) eps (- 1/2 (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4))) 1/2 (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4)) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 27/2800 (pow eps 4) 4 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) -1/2 (/ (- 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))
2.0ms
eps
@-inf
((/ (- eps (sin eps)) (- eps (tan eps))) (- (* 9/40 (* eps eps)) (- 1/2 (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4)))) (* 9/40 (* eps eps)) 9/40 (* eps eps) eps (- 1/2 (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4))) 1/2 (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4)) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 27/2800 (pow eps 4) 4 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) -1/2 (/ (- 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))
2.0ms
eps
@0
((/ (- eps (sin eps)) (- eps (tan eps))) (- (* 9/40 (* eps eps)) (- 1/2 (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4)))) (* 9/40 (* eps eps)) 9/40 (* eps eps) eps (- 1/2 (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4))) 1/2 (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4)) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 27/2800 (pow eps 4) 4 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) -1/2 (/ (- 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))

simplify178.0ms (1.4%)

Memory
-3.5MiB live, 138.4MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127544
1357510
21217482
36256482
08329462
Stop Event
iter limit
node limit
Counts
42 → 41
Calls
Call 1
Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 9/40 (pow eps 2))
(pow eps 2)
eps
1/2
(+ 1/2 (* 27/2800 (pow eps 4)))
(+ 1/2 (* (pow eps 4) (+ 27/2800 (* -27/112000 (pow eps 2)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 27/112000 (pow eps 2))
(pow eps 4)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* -27/112000 (pow eps 6))
(* (pow eps 6) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))
(* (pow eps 6) (- (+ (/ 1/2 (pow eps 6)) (* 27/2800 (/ 1 (pow eps 2)))) 27/112000))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 9/40 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(pow eps 2)
(*.f64 eps eps)
eps
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 27/2800 (pow eps 4)))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/2800 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow eps 4) (+ 27/2800 (* -27/112000 (pow eps 2)))))
(fma.f64 (fma.f64 #s(literal -27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* -27/2800 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(* 27/112000 (pow eps 2))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* -27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -27/112000 binary64))
(* (pow eps 6) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))
(*.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ (/ 1/2 (pow eps 6)) (* 27/2800 (/ 1 (pow eps 2)))) 27/112000))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64)))
(* -27/2800 (pow eps 2))
(*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps)
(* 27/112000 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)))

rewrite78.0ms (0.6%)

Memory
18.4MiB live, 64.3MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031222
050222
1239222
01885220
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
26 → 235
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
#s(literal 9/40 binary64)
(*.f64 eps eps)
eps
(-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 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))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
#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))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (-.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))) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 2 binary64))) (-.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 3 binary64))) (fma.f64 (-.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 (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))) (/.f64 (pow.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))))) (/.f64 (pow.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(-.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))
(-.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64))) (neg.f64 (fma.f64 #s(literal 9/40 binary64) (-.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 81/1600 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 9/40 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64)) (+.f64 #s(literal 81/1600 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) (*.f64 #s(literal 9/40 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64)) (fma.f64 #s(literal 9/40 binary64) (-.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (neg.f64 eps)) (neg.f64 eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (fabs.f64 eps)) (fabs.f64 eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps #s(literal 9/40 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 eps (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) #s(literal 9/40 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 9/40 binary64))) (/.f64 #s(literal 81/1600 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 9/40 binary64))))
(-.f64 #s(literal 9/40 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps)) eps))
(-.f64 #s(literal 9/40 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))) (*.f64 eps eps)))
(-.f64 #s(literal 9/40 binary64) (*.f64 (neg.f64 (*.f64 eps eps)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 3 binary64)) (fma.f64 #s(literal 9/40 binary64) (-.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 2 binary64)))) (/.f64 #s(literal 729/64000 binary64) (fma.f64 #s(literal 9/40 binary64) (-.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps) #s(literal 9/40 binary64))
(+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps))
(/.f64 (-.f64 #s(literal 729/7840000 binary64) (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal -27/2800 binary64) (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))))
(/.f64 (neg.f64 (fma.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) #s(literal -19683/21952000000 binary64))) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal -729/313600000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -729/7840000 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal -27/2800 binary64))))
(/.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -729/7840000 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal -27/2800 binary64)))
(/.f64 (fma.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) #s(literal -19683/21952000000 binary64)) (+.f64 #s(literal 729/7840000 binary64) (-.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 eps eps) #s(literal -729/313600000 binary64)))))
(/.f64 (fma.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) #s(literal -19683/21952000000 binary64)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal -729/313600000 binary64)))))
(fma.f64 (*.f64 #s(literal 27/112000 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 #s(literal 27/112000 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps #s(literal -27/2800 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(fma.f64 eps (*.f64 #s(literal 27/112000 binary64) eps) #s(literal -27/2800 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal -27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal -27/2800 binary64))))
(-.f64 #s(literal -27/2800 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 27/112000 binary64) eps)) eps))
(-.f64 #s(literal -27/2800 binary64) (*.f64 #s(literal -27/112000 binary64) (*.f64 eps eps)))
(-.f64 #s(literal -27/2800 binary64) (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal 27/112000 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal -729/313600000 binary64))))) (/.f64 #s(literal -19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) #s(literal -729/313600000 binary64))))))
(+.f64 #s(literal -27/2800 binary64) (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)))
(+.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal -27/2800 binary64))

eval50.0ms (0.4%)

Memory
16.9MiB live, 62.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 12 497 to 1 482 computations (88.1% saved)

prune11.0ms (0.1%)

Memory
-32.1MiB live, 22.7MiB allocated; 6ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3971398
Fresh000
Picked134
Done011
Total3985403
Accuracy
100.0%
Counts
403 → 5
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)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
99.6%
#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 #s(literal 9/40 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (*.f64 eps eps) #s(literal 1/2 binary64))))
98.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 107 to 66 computations (38.3% saved)

series5.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
14 → 36
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (*.f64 eps eps) #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (*.f64 eps eps) #s(literal 1/2 binary64)))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
#s(literal 9/40 binary64)
(*.f64 eps eps)
eps
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (*.f64 eps eps) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps))
(neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
#s(literal 1/2 binary64)
Outputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 9/40 (pow eps 2))
(pow eps 2)
eps
1/2
(+ 1/2 (* 27/2800 (pow eps 4)))
(+ 1/2 (* (pow eps 4) (+ 27/2800 (* -27/112000 (pow eps 2)))))
(* 27/2800 (pow eps 2))
(* (pow eps 2) (+ 27/2800 (* -27/112000 (pow eps 2))))
27/2800
(+ 27/2800 (* -27/112000 (pow eps 2)))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 27/112000 (pow eps 2))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* -27/112000 (pow eps 6))
(* (pow eps 6) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))
(* (pow eps 6) (- (+ (/ 1/2 (pow eps 6)) (* 27/2800 (/ 1 (pow eps 2)))) 27/112000))
(* -27/112000 (pow eps 4))
(* (pow eps 4) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))
(* -27/112000 (pow eps 2))
(* (pow eps 2) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
Calls

3 calls:

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

simplify190.0ms (1.5%)

Memory
38.0MiB live, 126.4MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116472
1338438
21161410
36019410
08067392
Stop Event
iter limit
node limit
Counts
36 → 35
Calls
Call 1
Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 9/40 (pow eps 2))
(pow eps 2)
eps
1/2
(+ 1/2 (* 27/2800 (pow eps 4)))
(+ 1/2 (* (pow eps 4) (+ 27/2800 (* -27/112000 (pow eps 2)))))
(* 27/2800 (pow eps 2))
(* (pow eps 2) (+ 27/2800 (* -27/112000 (pow eps 2))))
27/2800
(+ 27/2800 (* -27/112000 (pow eps 2)))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 27/112000 (pow eps 2))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* -27/112000 (pow eps 6))
(* (pow eps 6) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))
(* (pow eps 6) (- (+ (/ 1/2 (pow eps 6)) (* 27/2800 (/ 1 (pow eps 2)))) 27/112000))
(* -27/112000 (pow eps 4))
(* (pow eps 4) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))
(* -27/112000 (pow eps 2))
(* (pow eps 2) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 9/40 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(pow eps 2)
(*.f64 eps eps)
eps
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 27/2800 (pow eps 4)))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/2800 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow eps 4) (+ 27/2800 (* -27/112000 (pow eps 2)))))
(fma.f64 (fma.f64 #s(literal -27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* 27/2800 (pow eps 2))
(*.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))
(* (pow eps 2) (+ 27/2800 (* -27/112000 (pow eps 2))))
(fma.f64 #s(literal -27/112000 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))
27/2800
#s(literal 27/2800 binary64)
(+ 27/2800 (* -27/112000 (pow eps 2)))
(fma.f64 #s(literal -27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(* 27/112000 (pow eps 2))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* -27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -27/112000 binary64))
(* (pow eps 6) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))
(*.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ (/ 1/2 (pow eps 6)) (* 27/2800 (/ 1 (pow eps 2)))) 27/112000))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* -27/112000 (pow eps 4))
(*.f64 #s(literal -27/112000 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))
(*.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* -27/112000 (pow eps 2))
(*.f64 #s(literal -27/112000 binary64) (*.f64 eps eps))
(* (pow eps 2) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) eps) eps)
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)))

rewrite53.0ms (0.4%)

Memory
-23.9MiB live, 22.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019118
028118
1126106
01037104
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
14 → 96
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (*.f64 eps eps) #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (*.f64 eps eps) #s(literal 1/2 binary64)))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
#s(literal 9/40 binary64)
(*.f64 eps eps)
eps
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (*.f64 eps eps) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps))
(neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(-.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))))) (/.f64 (pow.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps))
(*.f64 (*.f64 #s(literal 9/40 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(*.f64 (*.f64 #s(literal 9/40 binary64) eps) eps)
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 9/40 binary64)))
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 9/40 binary64)))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
(*.f64 eps (*.f64 #s(literal 9/40 binary64) eps))
#s(literal 9/40 binary64)
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 eps eps)
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(neg.f64 (*.f64 eps (neg.f64 eps)))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
eps
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (neg.f64 eps)) (neg.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (fabs.f64 eps)) (fabs.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps)) (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 3 binary64))) eps #s(literal 1/2 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps))) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (*.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 eps eps) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps)) #s(literal 1/2 binary64))
(fma.f64 eps (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (pow.f64 eps #s(literal 3 binary64)))) eps))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps))) (*.f64 eps eps)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (pow.f64 eps #s(literal 4 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 eps eps)) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps))))
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))))
(*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (neg.f64 eps)) (neg.f64 eps))
(*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (fabs.f64 eps)) (fabs.f64 eps))
(*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps)) eps)
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))))
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (neg.f64 (*.f64 eps eps)))
(*.f64 (*.f64 eps eps) (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))
(*.f64 eps (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps)))
(neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps))
(/.f64 (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -729/7840000 binary64))) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) #s(literal 19683/21952000000 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))
(/.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -729/7840000 binary64)) (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) #s(literal 19683/21952000000 binary64)) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))))
(neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -729/7840000 binary64))) (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) #s(literal 19683/21952000000 binary64))) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))))
(/.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -729/7840000 binary64)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) #s(literal 19683/21952000000 binary64)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 (*.f64 #s(literal 27/112000 binary64) (neg.f64 eps)) (neg.f64 eps))
(*.f64 (*.f64 #s(literal 27/112000 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps)
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 27/112000 binary64)))
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 27/112000 binary64)))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
(*.f64 eps (*.f64 #s(literal 27/112000 binary64) eps))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
#s(literal 1/2 binary64)

eval29.0ms (0.2%)

Memory
-16.9MiB live, 34.1MiB allocated; 9ms collecting garbage
Compiler

Compiled 6 879 to 823 computations (88% saved)

prune6.0ms (0%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1791180
Fresh000
Picked101
Done044
Total1805185
Accuracy
100.0%
Counts
185 → 5
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)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
99.6%
#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 #s(literal 9/40 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(approx (neg (- (* 27/112000 (* eps eps)) 27/2800)) (fma.f64 #s(literal -27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (*.f64 eps eps) #s(literal 1/2 binary64))))
98.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 366 to 133 computations (63.7% saved)

regimes6.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(approx (neg (- (* 27/112000 (* eps eps)) 27/2800)) (fma.f64 #s(literal -27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (*.f64 eps eps) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) (*.f64 eps eps)) (*.f64 eps eps) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
Calls

2 calls:

3.0ms
eps
2.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
100.0%1eps
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
Calls

2 calls:

2.0ms
eps
1.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
99.9%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
99.9%1eps
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
Calls

2 calls:

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

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
eps
1.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
98.7%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
98.7%1eps
Compiler

Compiled 10 to 7 computations (30% saved)

simplify46.0ms (0.4%)

Memory
-18.2MiB live, 27.9MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02174
12774
23074
33574
44474
56574
611574
725774
877974
9400074
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

derivations146.0ms (1.2%)

Memory
22.2MiB live, 67.6MiB allocated; 3ms collecting garbage
Stop Event
fuel
Compiler

Compiled 74 to 21 computations (71.6% saved)

preprocess29.0ms (0.2%)

Memory
-15.1MiB live, 30.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 180 to 66 computations (63.3% saved)

end0.0ms (0%)

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

Profiling

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