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
2.5MiB live, 2.5MiB 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)

sample3.7s (62.9%)

Memory
52.7MiB live, 4 933.5MiB allocated; 890ms collecting garbage
Samples
2.9s5 711×2valid
445.0ms2 482×1valid
4.0ms63×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-sin: 1.9s (65.6% of total)
adjust: 487.0ms (16.9% of total)
ival-sub: 219.0ms (7.6% of total)
ival-div: 213.0ms (7.4% of total)
ival-tan: 68.0ms (2.4% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain288.0ms (4.9%)

Memory
-12.0MiB live, 319.6MiB allocated; 28ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
860-0-(-.f64 x (sin.f64 x))
431(-1.3433080338286625e-161)6(-4.005269921214452e-105)(/.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))cancellation860
/.f64(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))u/n380
↳(-.f64 x (sin.f64 x))underflow169
Confusion
Predicted +Predicted -
+1230
-1132
Precision
0.9919354838709677
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12300
-10132
Precision?
0.9919354838709677
Recall?
1.0
Freqs
test
numberfreq
0132
1124
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
158.0ms370×2valid
48.0ms136×1valid
0.0ms6×0valid
Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-sin: 95.0ms (65% of total)
adjust: 30.0ms (20.5% of total)
ival-div: 9.0ms (6.2% of total)
ival-sub: 7.0ms (4.8% of total)
ival-tan: 4.0ms (2.7% of total)
ival-true: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess276.0ms (4.7%)

Memory
18.5MiB live, 224.7MiB allocated; 97ms 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
▶56.5%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

series5.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB 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))

rewrite209.0ms (3.5%)

Memory
-28.1MiB live, 299.4MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137409
0143400
1735386
06349369
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
30 → 55
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)
#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
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 876 to 223 computations (74.5% saved)

prune6.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB 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
▶5.3%
(/.f64 (-.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)))) (tan.f64 x))
▶56.5%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x)))
✓56.5%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
86.5%
(/.f64 #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)))) (tan.f64 x))
85.7%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
▶99.4%
#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 (*.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))
99.2%
#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))
▶98.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 345 to 211 computations (38.8% saved)

series31.0ms (0.5%)

Memory
1.1MiB live, 47.7MiB allocated; 3ms collecting garbage
Counts
39 → 169
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 (-.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)))) (tan.f64 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))
(+.f64 (sin.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)))
(pow.f64 (sin.f64 x) #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 (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x 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 (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x 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 (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1/3 (* 1/18 (pow x 2))))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* -1/2 (pow x 2))))))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2))))))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 19/360 (* -17/5040 (pow x 2)))) 1/2))))))
#s(approx (+ (sin x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (sin x) x) #s(hole binary64 (* x (+ 2 (* -1/6 (pow x 2))))))
#s(approx (+ (sin x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (sin x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1/3 (* -1/9 (pow x 2))))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (- (* 19/1620 (pow x 2)) 1/9))))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 19/1620 (* -2/8505 (pow x 2)))) 1/9))))))
#s(approx (pow (sin x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (sin x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (pow (sin x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))))
#s(approx (pow (sin x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))))
#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 (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (+ (* -1 (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (* (pow x 2) (sin x)))) (/ (cos x) (sin x)))))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (+ (* -1 (/ (* (cos x) (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* -1 (pow (sin x) 3)) (pow (sin x) 3)))) (* (pow x 3) (sin x)))) (+ (* -1 (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (* (pow x 2) (sin x)))) (/ (cos x) (sin x))))))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 x))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2)))) (/ (sin x) x)))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* -1 (pow (sin x) 3)) (pow (sin x) 3))) (pow x 3)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2))))))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 x))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2)))) (/ (sin x) x)))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (* -1 (pow (sin x) 3))) (pow x 3)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2))))))))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (sin x) x)))))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))))
#s(approx (+ (sin x) x) #s(hole binary64 x))
#s(approx (+ (sin x) x) #s(hole binary64 (* x (+ 1 (/ (sin x) x)))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (/ (pow (sin x) 3) (pow x 2))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (/ (+ (* -1 (/ (pow (sin x) 4) x)) (pow (sin x) 3)) (pow x 2))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5)) (pow x 2))) (pow (sin x) 3)) (/ (pow (sin x) 4) x)) (pow x 2))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5)))) (* -1 (pow (sin x) 6))) (pow x 3))) (pow (sin x) 3)) (+ (* -1 (/ (pow (sin x) 5) (pow x 2))) (+ (/ (pow (sin x) 4) x) (/ (pow (sin x) 5) (pow x 2))))) (pow x 2))))
#s(approx (pow (sin x) 3) #s(hole binary64 (pow (sin x) 3)))
#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 (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (* -1 (/ (+ (* -1 (cos x)) (* -1 (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (* x (sin x))))) x)))))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (* -1 (/ (+ (* -1 (cos x)) (* -1 (/ (+ (* -1 (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (sin x))) x))) x)))))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) x))) x)) 1)))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (* -1 (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x))) x)) 1)))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1)))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 3) x)) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (sin x)) x)) 1)))))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))))
#s(approx (+ (sin x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (sin x) x)) 1)))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 5) x)) (/ (pow (sin x) 5) x)) (* -1 (pow (sin x) 4))) x)) (pow (sin x) 3)) (pow x 2))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin x) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5))) x) (/ (pow (sin x) 6) x)) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5))) x)) (* -1 (pow (sin x) 4))) x)) (pow (sin x) 3)) (pow x 2))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
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) (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (pow x 3) 3 (+ (* (sin x) (+ (sin x) x)) (* x x)) (+ (sin x) x) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (pow (sin x) 3) (tan x))
9.0ms
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) (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (pow x 3) 3 (+ (* (sin x) (+ (sin x) x)) (* x x)) (+ (sin x) x) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (pow (sin x) 3) (tan x))
7.0ms
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) (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (pow x 3) 3 (+ (* (sin x) (+ (sin x) x)) (* x x)) (+ (sin x) x) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (pow (sin x) 3) (tan x))

rewrite179.0ms (3%)

Memory
-7.2MiB live, 184.7MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07705644
08364221
145674206
084784120
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
208 → 385
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 (-.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)))) (tan.f64 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))
(+.f64 (sin.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)))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(tan.f64 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 (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x 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 (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x 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 (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1/3 (* 1/18 (pow x 2))))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* -1/2 (pow x 2))))))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2))))))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 19/360 (* -17/5040 (pow x 2)))) 1/2))))))
#s(approx (+ (sin x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (sin x) x) #s(hole binary64 (* x (+ 2 (* -1/6 (pow x 2))))))
#s(approx (+ (sin x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (sin x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1/3 (* -1/9 (pow x 2))))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (- (* 19/1620 (pow x 2)) 1/9))))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 19/1620 (* -2/8505 (pow x 2)))) 1/9))))))
#s(approx (pow (sin x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (sin x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (pow (sin x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))))
#s(approx (pow (sin x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))))
#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 (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (+ (* -1 (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (* (pow x 2) (sin x)))) (/ (cos x) (sin x)))))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (+ (* -1 (/ (* (cos x) (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* -1 (pow (sin x) 3)) (pow (sin x) 3)))) (* (pow x 3) (sin x)))) (+ (* -1 (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (* (pow x 2) (sin x)))) (/ (cos x) (sin x))))))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 x))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2)))) (/ (sin x) x)))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* -1 (pow (sin x) 3)) (pow (sin x) 3))) (pow x 3)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2))))))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 x))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2)))) (/ (sin x) x)))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (* -1 (pow (sin x) 3))) (pow x 3)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2))))))))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (sin x) x)))))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))))
#s(approx (+ (sin x) x) #s(hole binary64 x))
#s(approx (+ (sin x) x) #s(hole binary64 (* x (+ 1 (/ (sin x) x)))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (/ (pow (sin x) 3) (pow x 2))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (/ (+ (* -1 (/ (pow (sin x) 4) x)) (pow (sin x) 3)) (pow x 2))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5)) (pow x 2))) (pow (sin x) 3)) (/ (pow (sin x) 4) x)) (pow x 2))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5)))) (* -1 (pow (sin x) 6))) (pow x 3))) (pow (sin x) 3)) (+ (* -1 (/ (pow (sin x) 5) (pow x 2))) (+ (/ (pow (sin x) 4) x) (/ (pow (sin x) 5) (pow x 2))))) (pow x 2))))
#s(approx (pow (sin x) 3) #s(hole binary64 (pow (sin x) 3)))
#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 (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (* -1 (/ (+ (* -1 (cos x)) (* -1 (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (* x (sin x))))) x)))))))
#s(approx (/ (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (* -1 (/ (+ (* -1 (cos x)) (* -1 (/ (+ (* -1 (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (sin x))) x))) x)))))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) x))) x)) 1)))))
#s(approx (- (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (* -1 (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x))) x)) 1)))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1)))))
#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 3) x)) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (sin x)) x)) 1)))))
#s(approx (+ (* (sin x) (+ (sin x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))))
#s(approx (+ (sin x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (sin x) x)) 1)))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 5) x)) (/ (pow (sin x) 5) x)) (* -1 (pow (sin x) 4))) x)) (pow (sin x) 3)) (pow x 2))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin x) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5))) x) (/ (pow (sin x) 6) x)) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5))) x)) (* -1 (pow (sin x) 4))) x)) (pow (sin x) 3)) (pow x 2))))
Outputs
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #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 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #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 1/36 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #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 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #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 1/216 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #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 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x))))))
(fma.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) #s(literal 1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64))))
(+.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 529/129600 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x) #s(literal 23/360 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)))))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)))
(*.f64 x (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) x))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) x)
(*.f64 x (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 2 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1331/3456649728000 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)))))
(-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64))
(*.f64 (*.f64 #s(literal -143/604800 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x))
#s(literal -143/604800 binary64)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 11/15120 binary64)
#s(literal 23/360 binary64)
#s(literal 1/6 binary64)
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#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 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x))
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#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) #s(literal 1 binary64)) x))
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
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#s(approx (/ (pow x 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) x)
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#s(approx (+ (sin x) x) x)
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#s(approx (+ (sin x) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (sin.f64 x) x)) #s(literal 1 binary64))))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 5 binary64)) x) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) x) #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 x x)))
#s(approx (/ (pow (sin x) 3) (+ (* (sin x) (+ (sin x) x)) (* x x))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 5 binary64))) (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) x) (*.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 5 binary64)))) x) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) x) #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 x x)))

eval102.0ms (1.7%)

Memory
31.3MiB live, 161.4MiB allocated; 54ms collecting garbage
Compiler

Compiled 21 624 to 2 622 computations (87.9% saved)

prune67.0ms (1.1%)

Memory
-1.4MiB live, 100.1MiB allocated; 43ms collecting garbage
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New63113644
Fresh123
Picked145
Done011
Total63320653
Accuracy
99.9%
Counts
653 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (tan.f64 (+.f64 (PI.f64) x)))
56.5%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)) (-.f64 (PI.f64) x))))
56.5%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
✓56.5%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x)))
✓56.5%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
56.2%
(/.f64 (-.f64 x #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) (tan.f64 (+.f64 (PI.f64) x)))
▶86.5%
(/.f64 #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)))) (tan.f64 x))
▶85.7%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
99.2%
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 #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 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) (*.f64 x x))))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) (*.f64 x x))))
✓99.4%
#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 (*.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))
99.2%
#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))
▶99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) x) x))
▶98.7%
#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))
✓98.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
18.2%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #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))))) x))
11.4%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (*.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)))))
16.2%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) 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 6 binary64)))))
Compiler

Compiled 921 to 614 computations (33.3% saved)

series29.0ms (0.5%)

Memory
-18.6MiB live, 26.4MiB allocated; 13ms collecting garbage
Counts
46 → 149
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) (*.f64 x x))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64))
(*.f64 (*.f64 #s(literal -143/604800 binary64) x) x)
(*.f64 #s(literal -143/604800 binary64) x)
#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 (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) x) x)
(*.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) x)
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
(-.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 x)
(/.f64 #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)))) (tan.f64 x))
#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))))
(*.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)))
(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))
(-.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 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) x)
(fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal 1/120 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) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* 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) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* 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) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (- (* (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)) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) #s(hole binary64 (* (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) #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 (* -143/604800 x) #s(hole binary64 (* -143/604800 x)))
#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 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) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (* (- (* (* x x) -11/15120) 23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (- (* (* x x) -11/15120) 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 (+ (* (* (- (* (* 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) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (- (* (* x x) -11/15120) 23/360) x) x) #s(hole binary64 (* (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 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 (* (pow x 3) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#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 (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #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 (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) #s(hole binary64 -1/120))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) #s(hole binary64 (- (* 1/5040 (pow x 2)) 1/120)))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) #s(hole binary64 (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))
#s(approx (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) #s(hole binary64 (* 1/5040 (pow x 2))))
#s(approx (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) #s(hole binary64 (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) #s(hole binary64 (* 1/5040 x)))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) #s(hole binary64 (* x (+ 1/5040 (* -1/362880 (pow x 2))))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 1/5040))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (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) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x))) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (+ (* (* x x) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x))) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* 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) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* 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)) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* 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)) (* 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)) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) #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)) #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) #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) #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 (* (* (+ (* (* (- (* (* 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) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (* (- (* (* x x) -11/15120) 23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (- (* (* x x) -11/15120) 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 (+ (* (* (- (* (* 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) x) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (* (* (- (* (* x x) -11/15120) 23/360) x) x) #s(hole binary64 (* -1 (* (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)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1/362880 (pow x 9))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/362880 (pow x 6))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) #s(hole binary64 (* -1/362880 (pow x 4))))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) #s(hole binary64 (* -1/362880 (pow x 4))))
#s(approx (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) #s(hole binary64 (* -1/362880 (pow x 3))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) #s(hole binary64 (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (* -1/362880 (pow x 2))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (* (pow x 2) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#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 x) -11/15120) 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)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x))) (* (* x x) 1/6) (* x x) x 1/6 (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x)) (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) (- (* (* -143/604800 x) x) 11/15120) (* (* -143/604800 x) x) (* -143/604800 x) -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 x) -11/15120) 23/360) x) x) 1/6) x) x) (* (+ (* (* (- (* (* x x) -11/15120) 23/360) x) x) 1/6) x) (+ (* (* (- (* (* x x) -11/15120) 23/360) x) x) 1/6) (* (* (- (* (* x x) -11/15120) 23/360) x) x) (* (- (* (* x x) -11/15120) 23/360) x) (- (* (* x x) -11/15120) 23/360) (* (* x x) -11/15120) -11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) (* (+ (* -1/362880 (* x x)) 1/5040) x) (+ (* -1/362880 (* x x)) 1/5040) -1/362880 1/5040 1/120)
5.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x))) (* (* x x) 1/6) (* x x) x 1/6 (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x)) (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) (- (* (* -143/604800 x) x) 11/15120) (* (* -143/604800 x) x) (* -143/604800 x) -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 x) -11/15120) 23/360) x) x) 1/6) x) x) (* (+ (* (* (- (* (* x x) -11/15120) 23/360) x) x) 1/6) x) (+ (* (* (- (* (* x x) -11/15120) 23/360) x) x) 1/6) (* (* (- (* (* x x) -11/15120) 23/360) x) x) (* (- (* (* x x) -11/15120) 23/360) x) (- (* (* x x) -11/15120) 23/360) (* (* x x) -11/15120) -11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) (* (+ (* -1/362880 (* x x)) 1/5040) x) (+ (* -1/362880 (* x x)) 1/5040) -1/362880 1/5040 1/120)
4.0ms
x
@0
((/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x))) (* (* x x) 1/6) (* x x) x 1/6 (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x)) (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) (- (* (* -143/604800 x) x) 11/15120) (* (* -143/604800 x) x) (* -143/604800 x) -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 x) -11/15120) 23/360) x) x) 1/6) x) x) (* (+ (* (* (- (* (* x x) -11/15120) 23/360) x) x) 1/6) x) (+ (* (* (- (* (* x x) -11/15120) 23/360) x) x) 1/6) (* (* (- (* (* x x) -11/15120) 23/360) x) x) (* (- (* (* x x) -11/15120) 23/360) x) (- (* (* x x) -11/15120) 23/360) (* (* x x) -11/15120) -11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) (* (+ (* -1/362880 (* x x)) 1/5040) x) (+ (* -1/362880 (* x x)) 1/5040) -1/362880 1/5040 1/120)

rewrite172.0ms (2.9%)

Memory
-19.1MiB live, 167.9MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04124215
04774010
116663995
081333719
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
195 → 468
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) (*.f64 x x))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64))
(*.f64 (*.f64 #s(literal -143/604800 binary64) x) x)
(*.f64 #s(literal -143/604800 binary64) x)
#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 (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) x) x)
(*.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) x)
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
(-.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 x)
(/.f64 #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)))) (tan.f64 x))
#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))))
(*.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)))
(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))
(-.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 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) x)
(fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#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) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* 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) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* 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) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (- (* (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)) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) #s(hole binary64 (* (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) #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 (* -143/604800 x) #s(hole binary64 (* -143/604800 x)))
#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 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) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (* (- (* (* x x) -11/15120) 23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (- (* (* x x) -11/15120) 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 (+ (* (* (- (* (* 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) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (- (* (* x x) -11/15120) 23/360) x) x) #s(hole binary64 (* (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 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 (* (pow x 3) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#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 (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #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 (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) #s(hole binary64 -1/120))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) #s(hole binary64 (- (* 1/5040 (pow x 2)) 1/120)))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) #s(hole binary64 (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))
#s(approx (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) #s(hole binary64 (* 1/5040 (pow x 2))))
#s(approx (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) #s(hole binary64 (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) #s(hole binary64 (* 1/5040 x)))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) #s(hole binary64 (* x (+ 1/5040 (* -1/362880 (pow x 2))))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 1/5040))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (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) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x))) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (+ (* (* x x) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* x x))) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/6) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* 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) (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* 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)) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) (* 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)) (* 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)) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (* (- (* (- (* (* -143/604800 x) x) 11/15120) (* x x)) 23/360) (* x x)) #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)) #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) #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) #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 (* (* (+ (* (* (- (* (* 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) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (* (- (* (* x x) -11/15120) 23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (- (* (* x x) -11/15120) 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 (+ (* (* (- (* (* 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) x) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (* (* (- (* (* x x) -11/15120) 23/360) x) x) #s(hole binary64 (* -1 (* (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)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1/362880 (pow x 9))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/362880 (pow x 6))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) #s(hole binary64 (* -1/362880 (pow x 4))))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) #s(hole binary64 (* -1/362880 (pow x 4))))
#s(approx (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) #s(hole binary64 (* -1/362880 (pow x 3))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) #s(hole binary64 (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (* -1/362880 (pow x 2))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (* (pow x 2) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#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 x) -11/15120) 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)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (pow.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (-.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 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) (neg.f64 x))) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) (neg.f64 x))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) (neg.f64 x))) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/6 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) x)) x))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))) (pow.f64 x #s(literal 4 binary64))))
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#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 (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) (*.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 (* (* (- (* (* x x) -11/15120) 23/360) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* (- (* (* x x) -11/15120) 23/360) x) 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 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 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 3 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 (tan x) (tan.f64 x))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/362880 binary64)))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (pow.f64 x #s(literal 9 binary64))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/362880 binary64)))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/362880 binary64)))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/362880 binary64)))
#s(approx (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/362880 binary64)))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (*.f64 x 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) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.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))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.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))))))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) (*.f64 (neg.f64 (-.f64 #s(literal 1/362880 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) (*.f64 (neg.f64 (pow.f64 x #s(literal 9 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)))))
#s(approx (* (+ (* (- (* (* (+ (* -1/362880 (* x x)) 1/5040) x) x) 1/120) (* x x)) 1/6) (pow x 3)) (*.f64 (neg.f64 (pow.f64 x #s(literal 9 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64))))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/362880 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)))) (pow.f64 x #s(literal 3 binary64))))

eval73.0ms (1.2%)

Memory
12.4MiB live, 103.0MiB allocated; 10ms collecting garbage
Compiler

Compiled 22 896 to 3 049 computations (86.7% saved)

prune27.0ms (0.4%)

Memory
-3.1MiB live, 49.6MiB allocated; 5ms collecting garbage
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New61911630
Fresh6410
Picked415
Done235
Total63119650
Accuracy
99.9%
Counts
650 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (tan.f64 (+.f64 (PI.f64) x)))
✓56.5%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x)))
✓56.5%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
56.2%
(/.f64 (-.f64 x #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) (tan.f64 (+.f64 (PI.f64) x)))
86.4%
(/.f64 #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 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (tan.f64 x))
86.5%
(/.f64 #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)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
85.7%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
85.7%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
99.2%
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 #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)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
16.2%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))))))
▶27.5%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))))
▶99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
99.3%
#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)))
▶99.2%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) x))
▶99.2%
#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))
▶99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal -1/6 binary64)) x) x))
✓98.7%
#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))
✓98.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 1 058 to 561 computations (47% saved)

series23.0ms (0.4%)

Memory
31.8MiB live, 31.8MiB allocated; 0ms collecting garbage
Counts
46 → 170
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #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)
x
#s(literal -11/15120 binary64)
(*.f64 x x)
#s(literal -23/360 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 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal -1/6 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal -1/6 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal -1/6 binary64)) x)
(-.f64 (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(*.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))
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) x))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) x)
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x)))
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x)
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) 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 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)) (*.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 (*.f64 x x) #s(literal 1/6 binary64)) (*.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 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.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 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/36 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(*.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 (*.f64 x x) #s(literal 1/6 binary64)) (*.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)) #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) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* (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) #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 #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (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) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (- (* (* (+ (* (* x x) -11/15120) -23/360) x) x) -1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (- (* (* (+ (* (* x x) -11/15120) -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 (- (* (* (+ (* (* 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) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* (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 (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* 1/36 (pow x 2))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600))))))
#s(approx (* (* 1/6 x) (* 1/6 x)) #s(hole binary64 (* 1/36 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* 529/129600 (pow x 6))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* (pow x 6) (+ 529/129600 (* 253/2721600 (pow x 2))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* (pow x 6) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) #s(hole binary64 (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* 1/6 x)))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* x (+ 1/6 (* 23/360 (pow x 2))))))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2))))))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* 1/36 (pow x 4))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 4) (+ 1/36 (* -529/129600 (pow x 4))))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 4) (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 4) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600))))))
#s(approx (* 1/36 (pow x 4)) #s(hole binary64 (* 1/36 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* 529/129600 (pow x 8))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 8) (+ 529/129600 (* 253/2721600 (pow x 2))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 8) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 23/360 (pow x 2))))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2))))))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (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) x) #s(hole binary64 (* -143/604800 (pow x 5))))
#s(approx (* (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* (pow x 5) (- (* -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) #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) #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) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (- (* (* (+ (* (* x x) -11/15120) -23/360) x) x) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* (* x x) -11/15120) -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 (- (* (* (+ (* (* 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) x) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* -1 (* (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 (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* -121/228614400 (pow x 10))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* -1 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* (pow x 10) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* (pow x 10) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* 121/228614400 (pow x 10))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* (pow x 10) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* 11/15120 (pow x 5))))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* (pow x 5) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* -121/228614400 (pow x 12))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* -1 (* (pow x 12) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 12) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 12) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* 121/228614400 (pow x 12))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 12) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 12) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* 11/15120 (pow x 6))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 6) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 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 x) -11/15120) -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 (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 23/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 11/15120)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
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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) x) (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) (+ (* (* -143/604800 x) x) -11/15120) (* -143/604800 x) -143/604800 x -11/15120 (* x x) -23/360 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 x) -11/15120) -23/360) x) x) -1/6) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) -1/6 (/ (- x (sin x)) (tan x)) (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (* (* 1/6 x) (* 1/6 x)) (* 1/6 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) x) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) (/ (- x (sin x)) (tan x)) (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (* 1/36 (pow x 4)) 1/36 (pow x 4) 4 (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (* (* x x) 1/6))
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) x) (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) (+ (* (* -143/604800 x) x) -11/15120) (* -143/604800 x) -143/604800 x -11/15120 (* x x) -23/360 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 x) -11/15120) -23/360) x) x) -1/6) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) -1/6 (/ (- x (sin x)) (tan x)) (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (* (* 1/6 x) (* 1/6 x)) (* 1/6 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) x) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) (/ (- x (sin x)) (tan x)) (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (* 1/36 (pow x 4)) 1/36 (pow x 4) 4 (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (* (* x x) 1/6))

rewrite210.0ms (3.6%)

Memory
9.2MiB live, 189.7MiB allocated; 66ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04596307
05335300
118484996
080354862
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
216 → 467
Calls
Call 1
Inputs
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(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
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#s(literal -143/604800 binary64)
x
#s(literal -11/15120 binary64)
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#s(literal -23/360 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))
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#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) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* (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) #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 #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (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) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (- (* (* (+ (* (* x x) -11/15120) -23/360) x) x) -1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (- (* (* (+ (* (* x x) -11/15120) -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 (- (* (* (+ (* (* 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) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* (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 (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* 1/36 (pow x 2))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600))))))
#s(approx (* (* 1/6 x) (* 1/6 x)) #s(hole binary64 (* 1/36 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* 529/129600 (pow x 6))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* (pow x 6) (+ 529/129600 (* 253/2721600 (pow x 2))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* (pow x 6) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) #s(hole binary64 (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* 1/6 x)))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* x (+ 1/6 (* 23/360 (pow x 2))))))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2))))))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* 1/36 (pow x 4))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 4) (+ 1/36 (* -529/129600 (pow x 4))))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 4) (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 4) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600))))))
#s(approx (* 1/36 (pow x 4)) #s(hole binary64 (* 1/36 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* 529/129600 (pow x 8))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 8) (+ 529/129600 (* 253/2721600 (pow x 2))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 8) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 23/360 (pow x 2))))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2))))))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (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) x) #s(hole binary64 (* -143/604800 (pow x 5))))
#s(approx (* (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* (pow x 5) (- (* -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) #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) #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) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (- (* (* (+ (* (* x x) -11/15120) -23/360) x) x) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* (* x x) -11/15120) -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 (- (* (* (+ (* (* 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) x) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* -1 (* (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 (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* -121/228614400 (pow x 10))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* -1 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* (pow x 10) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* (pow x 10) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* 121/228614400 (pow x 10))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* (pow x 10) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* 11/15120 (pow x 5))))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* (pow x 5) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* -121/228614400 (pow x 12))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* -1 (* (pow x 12) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 12) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) #s(hole binary64 (* (pow x 12) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* 121/228614400 (pow x 12))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 12) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 12) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* 11/15120 (pow x 6))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 6) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 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 x) -11/15120) -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 (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 23/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 11/15120)))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #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 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #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 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) #s(literal 1/6 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))
(/.f64 (-.f64 #s(literal 529/129600 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x)))
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#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) (*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 121/228614400 binary64)))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 253/2721600 binary64) #s(literal 121/228614400 binary64)) (pow.f64 x #s(literal 10 binary64))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 253/2721600 binary64) (/.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 121/228614400 binary64)) (pow.f64 x #s(literal 10 binary64))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 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 (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 11/15120 binary64)))
#s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) (*.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 (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x 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 6 binary64)))))
#s(approx (/ (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x 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 6 binary64))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -121/228614400 binary64)))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (neg.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 253/2721600 binary64) #s(literal 121/228614400 binary64)))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 529/129600 binary64) #s(literal 253/2721600 binary64)) (*.f64 x x))) #s(literal 121/228614400 binary64))))
#s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 1/36 binary64)) #s(literal 121/228614400 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 253/2721600 binary64) (/.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 121/228614400 binary64)))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (*.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 253/2721600 binary64) #s(literal 121/228614400 binary64))))
#s(approx (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 253/2721600 binary64) (/.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 121/228614400 binary64))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* 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) (* x 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 6 binary64)))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 11/15120 binary64)))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (*.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 6 binary64))))
#s(approx (- (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) x)))
#s(approx (* (+ (* (+ (* (* -143/604800 x) x) -11/15120) (* x x)) -23/360) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 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 x) -11/15120) -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 (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) 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 (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 23/360 binary64)) (*.f64 x x))) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 5 binary64)))))

eval122.0ms (2.1%)

Memory
-6.9MiB live, 178.9MiB allocated; 37ms collecting garbage
Compiler

Compiled 60 314 to 4 321 computations (92.8% saved)

prune47.0ms (0.8%)

Memory
3.1MiB live, 96.4MiB allocated; 7ms collecting garbage
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New1 02371 030
Fresh2810
Picked235
Done044
Total1 027221 049
Accuracy
100.0%
Counts
1 049 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (tan.f64 (+.f64 (PI.f64) x)))
✓56.5%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 (+.f64 (PI.f64) x)))
✓56.5%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
56.2%
(/.f64 (-.f64 x #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) (tan.f64 (+.f64 (PI.f64) x)))
86.4%
(/.f64 #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 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (tan.f64 x))
86.5%
(/.f64 #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)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
85.7%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
99.2%
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 #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)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
27.5%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))))
27.2%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/6 binary64)) x) (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x)) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))))) x))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/36 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x)) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))))) x))
✓99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
99.3%
#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)))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) #s(literal 2 binary64))) x) (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))))
98.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) #s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) (*.f64 #s(literal 1/6 binary64) x))) x))
99.0%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) x))
✓99.2%
#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))
✓99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal -1/6 binary64)) x) x))
✓98.7%
#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))
✓98.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 2 218 to 702 computations (68.3% saved)

regimes20.0ms (0.3%)

Memory
-15.5MiB live, 31.1MiB allocated; 2ms collecting garbage
Counts
40 → 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 (+ (PI) x))) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 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 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) 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 (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) (*.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 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #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 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) #s(approx (- (* 1/6 x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x)) (*.f64 #s(literal 1/6 binary64) x))) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.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 #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) (tan.f64 (+.f64 (PI.f64) x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/36 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x)) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (- (* 1/36 (pow x 4)) (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))))
(/.f64 #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)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/6 binary64)) x) (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x)) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) #s(literal 2 binary64))) x) (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 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 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.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 (sin.f64 x)) (tan.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)) (-.f64 (PI.f64) x))))
(/.f64 #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)))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/6 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 (-.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 6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #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))))) x))
(/.f64 #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 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (*.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)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (tan.f64 (+.f64 (PI.f64) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.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 (/.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)))) (tan.f64 x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
Calls

2 calls:

9.0ms
x
8.0ms
(/.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
9.6MiB live, 9.6MiB 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 (+ (PI) x))) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 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 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) 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 (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) #s(literal 1/6 binary64)) 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
99.3%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.3%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
5 → 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 (+ (PI) x))) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (- x (sin x)) (tan (+ (PI) x))) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.2%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.2%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
4 → 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))
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
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.2%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.2%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.1b remaining (-10.2%)

Threshold costs -0.1b (-10.2%)

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 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
98.7%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
98.7%1x
Compiler

Compiled 8 to 6 computations (25% saved)

simplify46.0ms (0.8%)

Memory
0.6MiB live, 53.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034100
146100
251100
360100
480100
5130100
6272100
7789100
84012100
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #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 (*.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 (+ (PI) x))) (*.f64 (fma.f64 #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 (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 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (*.f64 x x) #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 (*.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 (+ (PI) x))) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #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 (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 x x) #s(literal 1/6 binary64)))

derivations199.0ms (3.4%)

Memory
-9.4MiB live, 126.1MiB allocated; 14ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 100 to 30 computations (70% saved)

preprocess35.0ms (0.6%)

Memory
4.4MiB live, 50.2MiB allocated; 15ms collecting garbage
Remove

(abs x)

Compiler

Compiled 336 to 146 computations (56.5% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...