ENA, Section 1.4, Exercise 4a

Time bar (total: 5.9s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.7%6.2%50%0%0%0%4
93.8%46.8%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%49.9%0%50%0%0%0%11
100%49.9%0%50%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample3.6s (61.3%)

Memory
49.3MiB live, 4 690.3MiB allocated; 861ms collecting garbage
Samples
2.8s5 757×2valid
389.0ms2 448×1valid
3.0ms51×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-sin: 1.9s (66.5% of total)
adjust: 429.0ms (15% of total)
ival-sub: 203.0ms (7.1% of total)
ival-div: 196.0ms (6.9% of total)
ival-tan: 124.0ms (4.3% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain221.0ms (3.7%)

Memory
22.7MiB live, 260.6MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
850-0-(-.f64 x (sin.f64 x))
460-1(-2.4696512636237735e-106)(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
00-0-(tan.f64 x)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 x (sin.f64 x))cancellation850
/.f64(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))u/n450
↳(-.f64 x (sin.f64 x))underflow171
Confusion
Predicted +Predicted -
+1300
-0126
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13000
-00126
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0126
1130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
151.0ms356×2valid
25.0ms152×1valid
0.0ms4×0valid
Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-sin: 110.0ms (71.2% of total)
adjust: 22.0ms (14.2% of total)
ival-div: 11.0ms (7.1% of total)
ival-sub: 7.0ms (4.5% of total)
ival-tan: 4.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess235.0ms (4%)

Memory
-2.3MiB live, 137.7MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
12823
26222
311122
420822
545322
6110622
7268922
8699622
057
097
1157
2187
3237
4327
5547
61047
72277
86187
918537
1048167
080807
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% 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
▶54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

series5.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
5 → 25
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
Calls

3 calls:

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

rewrite202.0ms (3.4%)

Memory
-29.9MiB live, 108.1MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133400
1725386
06339369
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
30 → 55
Calls
Call 1
Inputs
(/ (- x (sin x)) (tan x))
(- x (sin x))
x
(sin x)
(tan x)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
Outputs
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 x (tan.f64 x)) (/.f64 x (tan.f64 x))) (*.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))) (+.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (tan.f64 x)) (/.f64 x (tan.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)) (*.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (tan.f64 x)))
(/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (neg.f64 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(neg.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))))
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- x (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- x (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (sin x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (sin x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (tan x) x)
#s(approx (tan x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (tan x) (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (tan x) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x))
#s(approx (- x (sin x)) x)
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (tan x) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))

eval6.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 876 to 223 computations (74.5% saved)

prune6.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New49857
Fresh000
Picked011
Done000
Total49958
Accuracy
99.9%
Counts
58 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
▶54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x)))
✓54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶83.9%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
83.1%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
▶99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶98.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 279 to 189 computations (32.3% saved)

series39.0ms (0.7%)

Memory
-5.3MiB live, 51.1MiB allocated; 16ms collecting garbage
Counts
37 → 115
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal 11/15120 binary64)
#s(literal 23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x))
#s(literal -11/15120 binary64)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 (+.f64 (PI.f64) x))
(+.f64 (PI.f64) x)
(PI.f64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 x)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -11/15120 x)))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* x (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 -11/15120))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* -143/604800 (* x x)) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* -11/15120 (* x x)) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* 1/6 (/ (* (pow x 3) (cos (PI))) (sin (PI))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (sin (PI)) 2))) (* 1/6 (/ (cos (PI)) (sin (PI))))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2)))))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (sin (PI)) 2))) (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 2))) (/ (* (cos (PI)) (* (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI)))))))) (sin (PI))))))) (* -1/120 (/ (cos (PI)) (sin (PI))))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2)))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (PI) x) #s(hole binary64 (PI)))
#s(approx (+ (PI) x) #s(hole binary64 (+ x (PI))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -143/604800 (pow x 3))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (/ (* x (cos (+ x (PI)))) (sin (+ x (PI))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* x (+ (* -1 (/ (* (cos (+ x (PI))) (sin x)) (* x (sin (+ x (PI)))))) (/ (cos (+ x (PI))) (sin (+ x (PI))))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (+ (PI) x) #s(hole binary64 x))
#s(approx (+ (PI) x) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* -1/120 (pow x 2))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (/ (* x (cos (- (PI) (* -1 x)))) (sin (- (PI) (* -1 x))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos (- (PI) (* -1 x))) (sin (- (PI) (* -1 x))))) (/ (* (cos (- (PI) (* -1 x))) (sin x)) (* x (sin (- (PI) (* -1 x))))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (+ (PI) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
26.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 (* x x) x 11/15120 23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (* -11/15120 (* x x)) -11/15120 (/ (- x (sin x)) (tan (+ (PI) x))) (- x (sin x)) (sin x) (tan (+ (PI) x)) (+ (PI) x) (PI) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) -1/120 (pow x 3) 3 (tan x))
6.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 (* x x) x 11/15120 23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (* -11/15120 (* x x)) -11/15120 (/ (- x (sin x)) (tan (+ (PI) x))) (- x (sin x)) (sin x) (tan (+ (PI) x)) (+ (PI) x) (PI) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) -1/120 (pow x 3) 3 (tan x))
5.0ms
x
@0
((/ (- x (sin x)) (tan x)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 (* x x) x 11/15120 23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (* -11/15120 (* x x)) -11/15120 (/ (- x (sin x)) (tan (+ (PI) x))) (- x (sin x)) (sin x) (tan (+ (PI) x)) (+ (PI) x) (PI) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) -1/120 (pow x 3) 3 (tan x))

rewrite196.0ms (3.3%)

Memory
-25.9MiB live, 209.0MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04462703
124952626
0102152509
Stop Event
1×iter limit
1×node limit
Counts
152 → 362
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x))))
(* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x))
(+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6)
(- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)
(* (* (- (* -143/604800 (* x x)) 11/15120) x) x)
(* (- (* -143/604800 (* x x)) 11/15120) x)
(- (* -143/604800 (* x x)) 11/15120)
(* -143/604800 (* x x))
-143/604800
(* x x)
x
11/15120
23/360
1/6
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (* x x) 1/6)))
(* (* x x) 1/6)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x)))
(* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x)
(* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x)
(+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6)
(- (* -11/15120 (* x x)) 23/360)
(* -11/15120 (* x x))
-11/15120
(/ (- x (sin x)) (tan (+ (PI) x)))
(- x (sin x))
(sin x)
(tan (+ (PI) x))
(+ (PI) x)
(PI)
(/ #s(approx (- x (sin x)) #s(hole binary64 (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)))) (tan x))
#s(approx (- x (sin x)) #s(hole binary64 (* (+ (* -1/120 (* x x)) 1/6) (pow x 3))))
(* (+ (* -1/120 (* x x)) 1/6) (pow x 3))
(+ (* -1/120 (* x x)) 1/6)
-1/120
(pow x 3)
3
(tan x)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -11/15120 x)))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* x (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 -11/15120))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* -143/604800 (* x x)) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* -11/15120 (* x x)) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* 1/6 (/ (* (pow x 3) (cos (PI))) (sin (PI))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (sin (PI)) 2))) (* 1/6 (/ (cos (PI)) (sin (PI))))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2)))))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (sin (PI)) 2))) (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 2))) (/ (* (cos (PI)) (* (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI)))))))) (sin (PI))))))) (* -1/120 (/ (cos (PI)) (sin (PI))))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2)))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (PI) x) #s(hole binary64 (PI)))
#s(approx (+ (PI) x) #s(hole binary64 (+ x (PI))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -143/604800 (pow x 3))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (/ (* x (cos (+ x (PI)))) (sin (+ x (PI))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* x (+ (* -1 (/ (* (cos (+ x (PI))) (sin x)) (* x (sin (+ x (PI)))))) (/ (cos (+ x (PI))) (sin (+ x (PI))))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (+ (PI) x) #s(hole binary64 x))
#s(approx (+ (PI) x) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* -1/120 (pow x 2))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (/ (* x (cos (- (PI) (* -1 x)))) (sin (- (PI) (* -1 x))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos (- (PI) (* -1 x))) (sin (- (PI) (* -1 x))))) (/ (* (cos (- (PI) (* -1 x))) (sin x)) (* x (sin (- (PI) (* -1 x))))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (+ (PI) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) #s(literal 1/6 binary64)) x) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))))))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))))))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 1/6 binary64))))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))))))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))))))))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 2 binary64)) #s(literal 529/129600 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) #s(literal 23/360 binary64))))
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#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* -11/15120 (* x x)) 23/360) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
#s(approx (- (* -11/15120 (* x x)) 23/360) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x))
#s(approx (- x (sin x)) x)
#s(approx (- x (sin x)) (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (tan (+ (PI) x)) (tan.f64 x))
#s(approx (+ (PI) x) x)
#s(approx (+ (PI) x) (*.f64 (/.f64 (+.f64 (PI.f64) x) x) x))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))
#s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)))
#s(approx (tan (+ (PI) x)) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64) (/.f64 (cos.f64 x) x))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (neg.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))))
#s(approx (- x (sin x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
#s(approx (tan (+ (PI) x)) (tan.f64 x))
#s(approx (+ (PI) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (PI.f64) (neg.f64 x)) #s(literal 1 binary64))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (neg.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64)))))

eval61.0ms (1%)

Memory
40.9MiB live, 86.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 14 589 to 2 033 computations (86.1% saved)

prune35.0ms (0.6%)

Memory
-35.3MiB live, 61.2MiB allocated; 12ms collecting garbage
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New47012482
Fresh213
Picked145
Done011
Total47318491
Accuracy
99.9%
Counts
491 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x)))
✓54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
83.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(approx (tan (+ (PI) x)) x))
▶83.8%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
33.6%
(/.f64 #s(approx (- x (sin x)) (*.f64 #s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
▶19.0%
(/.f64 #s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) (tan.f64 x))
▶99.6%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x))))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) (*.f64 x x))))
✓99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) x)) x))
✓99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) #s(literal 1/6 binary64))) x) x))
▶98.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓98.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
15.0%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))))
Compiler

Compiled 825 to 534 computations (35.3% saved)

series17.0ms (0.3%)

Memory
34.9MiB live, 34.9MiB allocated; 0ms collecting garbage
Counts
44 → 128
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x)))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))
(-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
#s(literal -143/604800 binary64)
#s(literal 11/15120 binary64)
#s(literal 23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) x)) x))
(*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) x)) x)
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) x))
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) x)
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
#s(literal -11/15120 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
(*.f64 (*.f64 x x) x)
(tan.f64 x)
(/.f64 #s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) (tan.f64 x))
#s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/120 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) #s(hole binary64 (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) #s(hole binary64 (* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (* (* x x) (- (* (* x x) -143/604800) 11/15120)) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* (* x x) (- (* (* x x) -143/604800) 11/15120)) #s(hole binary64 (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (- (* (* x x) -143/604800) 11/15120) #s(hole binary64 -11/15120))
#s(approx (- (* (* x x) -143/604800) 11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* (* x x) -143/604800) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) #s(hole binary64 (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* x x) (- (* (* x x) -11/15120) 23/360)) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* x x) (- (* (* x x) -11/15120) 23/360)) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (- (* (* x x) -11/15120) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* (* x x) -11/15120) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* (* x x) -11/15120) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 (/ (+ 1/6 (* -1/120 (pow x 2))) (pow x 2))))
#s(approx (* (pow x -2) 1/6) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x 5) #s(hole binary64 (pow x 5)))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* x x) (- (* (* x x) -143/604800) 11/15120)) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (* (* x x) (- (* (* x x) -143/604800) 11/15120)) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* (* x x) -143/604800) 11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- (* (* x x) -143/604800) 11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* x x) (- (* (* x x) -11/15120) 23/360)) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (* (* x x) (- (* (* x x) -11/15120) 23/360)) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* (* x x) -11/15120) 23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- (* (* x x) -11/15120) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* -1/120 (pow x 2))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 -1/120))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) (* x x) x 1/6 (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) (* (* x x) (- (* (* x x) -143/604800) 11/15120)) (- (* (* x x) -143/604800) 11/15120) (* (* x x) -143/604800) -143/604800 11/15120 23/360 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) (* (* x x) (- (* (* x x) -11/15120) 23/360)) (- (* (* x x) -11/15120) 23/360) (* (* x x) -11/15120) -11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) (+ (* -1/120 (* x x)) 1/6) -1/120 (* (* x x) x) (tan x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (- (* (pow x -2) 1/6) 1/120) (* (pow x -2) 1/6) (pow x -2) -2 1/120 (pow x 5) 5)
5.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) (* x x) x 1/6 (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) (* (* x x) (- (* (* x x) -143/604800) 11/15120)) (- (* (* x x) -143/604800) 11/15120) (* (* x x) -143/604800) -143/604800 11/15120 23/360 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) (* (* x x) (- (* (* x x) -11/15120) 23/360)) (- (* (* x x) -11/15120) 23/360) (* (* x x) -11/15120) -11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) (+ (* -1/120 (* x x)) 1/6) -1/120 (* (* x x) x) (tan x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (- (* (pow x -2) 1/6) 1/120) (* (pow x -2) 1/6) (pow x -2) -2 1/120 (pow x 5) 5)
4.0ms
x
@0
((/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) (* x x) x 1/6 (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) (* (* x x) (- (* (* x x) -143/604800) 11/15120)) (- (* (* x x) -143/604800) 11/15120) (* (* x x) -143/604800) -143/604800 11/15120 23/360 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) (* (* x x) (- (* (* x x) -11/15120) 23/360)) (- (* (* x x) -11/15120) 23/360) (* (* x x) -11/15120) -11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) (+ (* -1/120 (* x x)) 1/6) -1/120 (* (* x x) x) (tan x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (- (* (pow x -2) 1/6) 1/120) (* (pow x -2) 1/6) (pow x -2) -2 1/120 (pow x 5) 5)

rewrite218.0ms (3.7%)

Memory
-23.3MiB live, 256.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03363346
113893288
085233010
Stop Event
1×iter limit
1×node limit
Counts
172 → 518
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)))))
(+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)))
(* x x)
x
1/6
(* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))
(* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360))
(- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)
(* (* x x) (- (* (* x x) -143/604800) 11/15120))
(- (* (* x x) -143/604800) 11/15120)
(* (* x x) -143/604800)
-143/604800
11/15120
23/360
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (* #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6)) x) x)))
(* (* #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6)) x) x)
(* #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x)))
(* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x)
(+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x))
(* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)
(* (* x x) (- (* (* x x) -11/15120) 23/360))
(- (* (* x x) -11/15120) 23/360)
(* (* x x) -11/15120)
-11/15120
(/ #s(approx (- x (sin x)) #s(hole binary64 (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)))) (tan x))
#s(approx (- x (sin x)) #s(hole binary64 (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x))))
(* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x))
(+ (* -1/120 (* x x)) 1/6)
-1/120
(* (* x x) x)
(tan x)
(/ #s(approx (- x (sin x)) #s(hole binary64 #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)))))) (tan x))
#s(approx (- x (sin x)) #s(hole binary64 #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (- (* (pow x -2) 1/6) 1/120) (pow x 5))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (- (* (pow x -2) 1/6) 1/120) (pow x 5))))
(* (- (* (pow x -2) 1/6) 1/120) (pow x 5))
(- (* (pow x -2) 1/6) 1/120)
(* (pow x -2) 1/6)
(pow x -2)
-2
1/120
(pow x 5)
5
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) #s(hole binary64 (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) #s(hole binary64 (* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (* (* x x) (- (* (* x x) -143/604800) 11/15120)) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* (* x x) (- (* (* x x) -143/604800) 11/15120)) #s(hole binary64 (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (- (* (* x x) -143/604800) 11/15120) #s(hole binary64 -11/15120))
#s(approx (- (* (* x x) -143/604800) 11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* (* x x) -143/604800) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) #s(hole binary64 (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* x x) (- (* (* x x) -11/15120) 23/360)) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* x x) (- (* (* x x) -11/15120) 23/360)) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (- (* (* x x) -11/15120) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* (* x x) -11/15120) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* (* x x) -11/15120) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 (/ (+ 1/6 (* -1/120 (pow x 2))) (pow x 2))))
#s(approx (* (pow x -2) 1/6) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x 5) #s(hole binary64 (pow x 5)))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* x x) 1/6) (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x))) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* x x) (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* x x) (- (* (* x x) -143/604800) 11/15120)) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (* (* x x) (- (* (* x x) -143/604800) 11/15120)) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* (* x x) -143/604800) 11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- (* (* x x) -143/604800) 11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* x x) (- (* (* x x) -11/15120) 23/360)) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (* (* x x) (- (* (* x x) -11/15120) 23/360)) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* (* x x) -11/15120) 23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- (* (* x x) -11/15120) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* -1/120 (pow x 2))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 -1/120))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (+ (* x 1/6) (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
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#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* (* x x) (- (* (* x x) -11/15120) 23/360)) x) (*.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (* x x) (- (* (* x x) -11/15120) 23/360)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* x x) (- (* (* x x) -11/15120) 23/360)) (*.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* x x) -11/15120) 23/360) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
#s(approx (- (* (* x x) -11/15120) 23/360) (*.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (*.f64 x x)))
#s(approx (- x (sin x)) x)
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64))))
#s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))
#s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64))))
#s(approx (tan x) (tan.f64 x))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(literal -1/120 binary64))
#s(approx (- (* (pow x -2) 1/6) 1/120) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64) (/.f64 (cos.f64 x) x))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (*.f64 (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 5 binary64))))

eval132.0ms (2.2%)

Memory
-7.3MiB live, 154.5MiB allocated; 103ms collecting garbage
Compiler

Compiled 22 446 to 2 992 computations (86.7% saved)

prune34.0ms (0.6%)

Memory
-6.1MiB live, 87.1MiB allocated; 5ms collecting garbage
Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New68014694
Fresh268
Picked325
Done235
Total68725712
Accuracy
100.0%
Counts
712 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x)))
✓54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶83.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(approx (tan (+ (PI) x)) x))
✓83.8%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
83.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) #s(approx (tan x) x))
83.8%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) x) x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (tan.f64 x))
83.8%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) x) x #s(literal 1/6 binary64)) x) (*.f64 x x))) (tan.f64 x))
33.5%
(/.f64 #s(approx (- x (sin x)) (*.f64 #s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x x) x))) (tan.f64 x))
▶18.1%
(/.f64 #s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(approx (tan x) x))
19.0%
(/.f64 #s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) (tan.f64 x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
▶99.6%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(literal -23/360 binary64))) (*.f64 x x))))
27.7%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
▶99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) -11/15120) 23/360) #s(literal -23/360 binary64))) x)) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) x))) x))
▶99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) #s(literal 1/6 binary64))) x) x))
✓98.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓98.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
15.0%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))))
Compiler

Compiled 1 288 to 797 computations (38.1% saved)

series21.0ms (0.4%)

Memory
-8.8MiB live, 46.4MiB allocated; 3ms collecting garbage
Counts
44 → 133
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(*.f64 #s(literal -143/604800 binary64) x)
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(approx (tan (+ (PI) x)) x))
#s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (tan (+ (PI) x)) x)
(/.f64 #s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(approx (tan x) x))
#s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/120 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (tan x) x)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (+ (* (* -143/604800 x) x) -11/15120) #s(hole binary64 -11/15120))
#s(approx (+ (* (* -143/604800 x) x) -11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* -143/604800 x) #s(hole binary64 (* -143/604800 x)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* 1/6 (/ (* (pow x 3) (cos (PI))) (sin (PI))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (sin (PI)) 2))) (* 1/6 (/ (cos (PI)) (sin (PI))))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2)))))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (sin (PI)) 2))) (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 2))) (/ (* (cos (PI)) (* (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI)))))))) (sin (PI))))))) (* -1/120 (/ (cos (PI)) (sin (PI))))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2)))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 (/ (+ 1/6 (* -1/120 (pow x 2))) (pow x 2))))
#s(approx (* (pow x -2) 1/6) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x 5) #s(hole binary64 (pow x 5)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* -143/604800 (pow x 7))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* -143/604800 x) x) -11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (+ (* (* -143/604800 x) x) -11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -11/15120 (pow x 3))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (/ (* x (cos (+ x (PI)))) (sin (+ x (PI))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* x (+ (* -1 (/ (* (cos (+ x (PI))) (sin x)) (* x (sin (+ x (PI)))))) (/ (cos (+ x (PI))) (sin (+ x (PI))))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* -1/120 (pow x 2))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 -1/120))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (/ (* x (cos (- (PI) (* -1 x)))) (sin (- (PI) (* -1 x))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos (- (PI) (* -1 x))) (sin (- (PI) (* -1 x))))) (/ (* (cos (- (PI) (* -1 x))) (sin x)) (* x (sin (- (PI) (* -1 x))))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) (* x x) x (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) (+ (* (* -143/604800 x) x) -11/15120) (* -143/604800 x) -143/604800 -11/15120 -23/360 (* (* x x) 1/6) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (/ (- x (sin x)) (tan (+ (PI) x))) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) -1/120 (pow x 3) 3 (tan (+ (PI) x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (- (* (pow x -2) 1/6) 1/120) (* (pow x -2) 1/6) (pow x -2) -2 1/120 (pow x 5) 5 (tan x))
7.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) (* x x) x (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) (+ (* (* -143/604800 x) x) -11/15120) (* -143/604800 x) -143/604800 -11/15120 -23/360 (* (* x x) 1/6) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (/ (- x (sin x)) (tan (+ (PI) x))) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) -1/120 (pow x 3) 3 (tan (+ (PI) x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (- (* (pow x -2) 1/6) 1/120) (* (pow x -2) 1/6) (pow x -2) -2 1/120 (pow x 5) 5 (tan x))
4.0ms
x
@0
((/ (- x (sin x)) (tan x)) (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) (* x x) x (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) (+ (* (* -143/604800 x) x) -11/15120) (* -143/604800 x) -143/604800 -11/15120 -23/360 (* (* x x) 1/6) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (/ (- x (sin x)) (tan (+ (PI) x))) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) -1/120 (pow x 3) 3 (tan (+ (PI) x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (- (* (pow x -2) 1/6) 1/120) (* (pow x -2) 1/6) (pow x -2) -2 1/120 (pow x 5) 5 (tan x))

rewrite264.0ms (4.5%)

Memory
57.9MiB live, 274.5MiB allocated; 81ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04733405
125303328
0102213103
Stop Event
1×iter limit
1×node limit
Counts
177 → 400
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6))))
(+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6))
(* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x)
(* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360))
(* x x)
x
(+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)
(+ (* (* -143/604800 x) x) -11/15120)
(* -143/604800 x)
-143/604800
-11/15120
-23/360
(* (* x x) 1/6)
1/6
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (* (+ (* #s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360)) (* x x)) 1/6) x) x)))
(* (* (+ (* #s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360)) (* x x)) 1/6) x) x)
(* (+ (* #s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360)) (* x x)) 1/6) x)
(+ (* #s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360)) (* x x)) 1/6)
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x))))
(* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x))
(+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6)
(* (+ (* (* x x) -11/15120) -23/360) x)
(+ (* (* x x) -11/15120) -23/360)
(/ #s(approx (- x (sin x)) #s(hole binary64 (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)))) #s(approx (tan (+ (PI) x)) #s(hole binary64 x)))
#s(approx (- x (sin x)) #s(hole binary64 (* (+ (* -1/120 (* x x)) 1/6) (pow x 3))))
(* (+ (* -1/120 (* x x)) 1/6) (pow x 3))
(+ (* -1/120 (* x x)) 1/6)
-1/120
(pow x 3)
3
#s(approx (tan (+ (PI) x)) #s(hole binary64 x))
(/ #s(approx (- x (sin x)) #s(hole binary64 #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)))))) #s(approx (tan x) #s(hole binary64 x)))
#s(approx (- x (sin x)) #s(hole binary64 #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (- (* (pow x -2) 1/6) 1/120) (pow x 5))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (- (* (pow x -2) 1/6) 1/120) (pow x 5))))
(* (- (* (pow x -2) 1/6) 1/120) (pow x 5))
(- (* (pow x -2) 1/6) 1/120)
(* (pow x -2) 1/6)
(pow x -2)
-2
1/120
(pow x 5)
5
#s(approx (tan x) #s(hole binary64 x))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (+ (* (* -143/604800 x) x) -11/15120) #s(hole binary64 -11/15120))
#s(approx (+ (* (* -143/604800 x) x) -11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* -143/604800 x) #s(hole binary64 (* -143/604800 x)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* 1/6 (/ (* (pow x 3) (cos (PI))) (sin (PI))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* (pow x 3) (+ (* -1/6 (/ (* x (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (pow (sin (PI)) 2))) (* 1/6 (/ (cos (PI)) (sin (PI))))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2)))))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (/ (cos (PI)) (sin (PI)))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))))) (pow (sin (PI)) 2))) (+ (* -1/6 (/ (* (pow (cos (PI)) 2) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 2))) (/ (* (cos (PI)) (* (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) (- (* -1/120 (/ (cos (PI)) (sin (PI)))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI)))))))) (sin (PI))))))) (* -1/120 (/ (cos (PI)) (sin (PI))))) (+ (* -1/6 (/ (* (pow (cos (PI)) 3) (pow (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))) 2)) (pow (sin (PI)) 3))) (* 1/6 (/ (* (cos (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (sin (PI))))))) (* 1/6 (/ (* (pow (cos (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (sin (PI)) 2)))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 (/ (+ 1/6 (* -1/120 (pow x 2))) (pow x 2))))
#s(approx (* (pow x -2) 1/6) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x 5) #s(hole binary64 (pow x 5)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* -143/604800 (pow x 7))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* -143/604800 x) x) -11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (+ (* (* -143/604800 x) x) -11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -11/15120 (pow x 3))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (/ (* x (cos (+ x (PI)))) (sin (+ x (PI))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* x (+ (* -1 (/ (* (cos (+ x (PI))) (sin x)) (* x (sin (+ x (PI)))))) (/ (cos (+ x (PI))) (sin (+ x (PI))))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* -1/120 (pow x 2))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 -1/120))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (/ (* x (cos (- (PI) (* -1 x)))) (sin (- (PI) (* -1 x))))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos (- (PI) (* -1 x))) (sin (- (PI) (* -1 x))))) (/ (* (cos (- (PI) (* -1 x))) (sin x)) (* x (sin (- (PI) (* -1 x))))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
Outputs
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/6 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x)
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 x x))
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#s(approx (tan (+ (PI) x)) (+.f64 #s(literal 0 binary64) x))
#s(approx (tan (+ (PI) x)) (fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64)))
#s(approx (tan (+ (PI) x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 x) #s(literal -1/3 binary64) #s(literal 0 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64)))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/120 binary64) x) x #s(literal 1/6 binary64))))
#s(approx (- (* (pow x -2) 1/6) 1/120) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))
#s(approx (- (* (pow x -2) 1/6) 1/120) (/.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (pow x -2) 1/6) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (pow x 5) (pow.f64 x #s(literal 5 binary64)))
#s(approx (tan (+ (PI) x)) x)
#s(approx (tan (+ (PI) x)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan (+ (PI) x)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan (+ (PI) x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64)))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (*.f64 x x))) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) x) (* (* x x) 1/6)) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64)))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (*.f64 x x))) #s(literal 143/604800 binary64))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) (neg.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64)))))
#s(approx (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (*.f64 x x))) #s(literal 143/604800 binary64))))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64)))))
#s(approx (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (*.f64 x x))) #s(literal 143/604800 binary64))))
#s(approx (+ (* (* -143/604800 x) x) -11/15120) (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x))
#s(approx (+ (* (* -143/604800 x) x) -11/15120) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64)) (*.f64 x x))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* -11/15120 (* x x)) 23/360) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
#s(approx (- (* -11/15120 (* x x)) 23/360) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (*.f64 x x))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) (neg.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))
#s(approx (+ (* (* x x) -11/15120) -23/360) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
#s(approx (+ (* (* x x) -11/15120) -23/360) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x))) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x))
#s(approx (- x (sin x)) x)
#s(approx (- x (sin x)) (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64))))
#s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))
#s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64))))
#s(approx (tan (+ (PI) x)) (tan.f64 x))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64))))
#s(approx (- (* (pow x -2) 1/6) 1/120) #s(literal -1/120 binary64))
#s(approx (- (* (pow x -2) 1/6) 1/120) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)))
#s(approx (tan (+ (PI) x)) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64) (/.f64 (cos.f64 x) x))))
#s(approx (* (* (* x x) (+ (* (* x x) (+ (* (* -143/604800 x) x) -11/15120)) -23/360)) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 143/604800 binary64)))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (neg.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))))
#s(approx (- x (sin x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (neg.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (tan (+ (PI) x)) (tan.f64 x))
#s(approx (* (- (* (pow x -2) 1/6) 1/120) (pow x 5)) (neg.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64)))))

eval78.0ms (1.3%)

Memory
-36.5MiB live, 108.0MiB allocated; 38ms collecting garbage
Compiler

Compiled 19 139 to 2 451 computations (87.2% saved)

prune32.0ms (0.5%)

Memory
26.6MiB live, 75.1MiB allocated; 3ms collecting garbage
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New5388546
Fresh7815
Picked235
Done055
Total54724571
Accuracy
100.0%
Counts
571 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x)))
✓54.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓83.8%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
83.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) #s(approx (tan (+ (PI) x)) x))
83.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan (+ (PI) x)) x))
83.8%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) x) x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (tan.f64 x))
32.7%
(/.f64 #s(approx (- x (sin x)) (*.f64 #s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #s(approx (tan (+ (PI) x)) x))
18.1%
(/.f64 #s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(approx (tan x) x))
18.2%
(/.f64 #s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(approx (tan x) x))
99.3%
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
✓99.6%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(literal -23/360 binary64))) (*.f64 x x))))
27.7%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
✓99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) -11/15120) 23/360) #s(literal -23/360 binary64))) x)) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) x))) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x)))
✓99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓98.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓98.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
15.0%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))))
Compiler

Compiled 1 845 to 676 computations (63.4% saved)

regimes22.0ms (0.4%)

Memory
-13.3MiB live, 32.4MiB allocated; 3ms collecting garbage
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) -11/15120) 23/360) #s(literal -23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(literal -23/360 binary64))) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) #s(approx (tan x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) #s(approx (tan (+ (PI) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))) (*.f64 x x))))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan (+ (PI) x)) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(approx (tan (+ (PI) x)) x))
(/.f64 #s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(approx (tan x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) x) x #s(literal 1/6 binary64)) x) (*.f64 x x))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(approx (tan x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) #s(literal 1/6 binary64))) x) x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(/.f64 #s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(approx (tan x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 #s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #s(approx (tan (+ (PI) x)) x))
(/.f64 #s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 #s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x x) x))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) #s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) x) x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 #s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
Calls

2 calls:

11.0ms
x
8.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.6%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.6%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) -11/15120) 23/360) #s(literal -23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(literal -23/360 binary64))) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) #s(approx (tan x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) #s(approx (tan (+ (PI) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.6%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.6%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) -11/15120) 23/360) #s(literal -23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(literal -23/360 binary64))) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) #s(approx (tan x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) #s(approx (tan (+ (PI) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) x)) x))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.5%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory
-38.5MiB live, 8.2MiB allocated; 2ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) -11/15120) 23/360) #s(literal -23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(literal -23/360 binary64))) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) #s(approx (tan x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) #s(approx (tan (+ (PI) x)) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

4.0ms
x
2.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.5%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) -11/15120) 23/360) #s(literal -23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(literal -23/360 binary64))) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.4%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.4%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) -11/15120) 23/360) #s(literal -23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) (- (* (* x x) -143/604800) 11/15120)) 23/360) #s(literal -23/360 binary64))) (*.f64 x x))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) -11/15120) 23/360) #s(literal -23/360 binary64))) x)) x))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.4%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.4%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.4%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.4%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.5%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
98.5%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.4%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
98.4%1x
Compiler

Compiled 8 to 6 computations (25% saved)

simplify96.0ms (1.6%)

Memory
-32.8MiB live, 68.2MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062219
184219
2135219
3232219
4338219
5405219
6506219
7776219
81753219
97379219
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) -11/15120) 23/360) #s(literal -23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(approx (- (* (* x x) -11/15120) 23/360) #s(literal -23/360 binary64))) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

derivations287.0ms (4.9%)

Memory
-3.7MiB live, 183.1MiB allocated; 15ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 219 to 65 computations (70.3% saved)

preprocess39.0ms (0.7%)

Memory
45.3MiB live, 45.3MiB allocated; 0ms collecting garbage
Remove

(abs x)

Compiler

Compiled 526 to 184 computations (65% saved)

end0.0ms (0%)

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

Profiling

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