tanhf (example 3.4)

Time bar (total: 4.6s)

start0.0ms (0%)

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

analyze150.0ms (3.3%)

Memory
22.1MiB live, 161.5MiB allocated; 23ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.2s (47.5%)

Memory
41.0MiB live, 1 661.2MiB allocated; 987ms collecting garbage
Samples
732.0ms4 166×0valid
668.0ms2 242×2valid
296.0ms640×3valid
154.0ms1 204×1valid
5.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-cos: 775.0ms (49.8% of total)
ival-div: 349.0ms (22.4% of total)
adjust: 168.0ms (10.8% of total)
ival-sin: 163.0ms (10.5% of total)
ival-sub: 86.0ms (5.5% of total)
ival-true: 6.0ms (0.4% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain174.0ms (3.8%)

Memory
4.2MiB live, 156.8MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
720-2(-3.141826959369632e-160)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
691(-6.12861131870121e+240)0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation701
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))u/n700
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow70
Confusion
Predicted +Predicted -
+1390
-1116
Precision
0.9928571428571429
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13900
-11115
Precision?
0.9858156028368794
Recall?
1.0
Freqs
test
numberfreq
0116
1140
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms144×2valid
29.0ms248×0valid
17.0ms44×3valid
9.0ms76×1valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-cos: 41.0ms (49% of total)
ival-sin: 14.0ms (16.7% of total)
ival-div: 13.0ms (15.5% of total)
adjust: 10.0ms (12% of total)
ival-sub: 5.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess206.0ms (4.5%)

Memory
-9.3MiB live, 142.3MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
1299
2718
31438
43778
514188
067
0104
1244
2374
3604
41314
56064
082884
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series3.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
6 → 20
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ (- 1 (cos x)) (sin x))
(- 1 (cos x))
(cos x)
(sin x)
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x))
1.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x))
1.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x))

simplify195.0ms (4.2%)

Memory
-33.8MiB live, 154.7MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079202
1266202
2794196
33337196
47629196
08018172
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ (- 1 (cos x)) (sin x))
(- 1 (cos x))
(cos x)
(sin x)
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(sin x)
(sin.f64 x)

rewrite55.0ms (1.2%)

Memory
14.3MiB live, 58.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01014
14114
030214
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
6 → 34
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(tan.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(sin.f64 x)

eval6.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 779 to 203 computations (73.9% saved)

prune4.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New49554
Fresh000
Picked011
Done000
Total49655
Accuracy
100.0%
Counts
55 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
53.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
53.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
53.1%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
53.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
100.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 179 to 128 computations (28.5% saved)

series10.0ms (0.2%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
22 → 45
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/24 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal 17/40320 binary64)
Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
x
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(pow x 2)
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
1/240
(+ 1/240 (* 17/40320 (pow x 2)))
(/ (- 1 (cos x)) (sin x))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 17/40320 (pow x 7))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 2))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320)
3.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320)
2.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320)

simplify169.0ms (3.7%)

Memory
-3.7MiB live, 180.9MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097456
1359456
21170454
35046454
08562434
Stop Event
iter limit
node limit
Counts
45 → 44
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
x
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(pow x 2)
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
1/240
(+ 1/240 (* 17/40320 (pow x 2)))
(/ (- 1 (cos x)) (sin x))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 17/40320 (pow x 7))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 2))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
x
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/240 (pow x 2)))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64))
1/240
#s(literal 1/240 binary64)
(+ 1/240 (* 17/40320 (pow x 2)))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/240 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/240 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/240 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/240 binary64))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/240 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/240 (pow x 2))
(*.f64 #s(literal 1/240 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 17/40320 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/40320 binary64))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 17/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/40320 binary64))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 17/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 17/40320 (pow x 2))
(*.f64 #s(literal 17/40320 binary64) (*.f64 x x))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/240 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64))))

rewrite215.0ms (4.7%)

Memory
-7.8MiB live, 179.7MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027196
045181
1185181
21427181
08354181
Stop Event
iter limit
node limit
iter limit
Counts
22 → 329
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/24 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal 17/40320 binary64)
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(/.f64 (+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64)))
(tan.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
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(/.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/57600 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(/.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/57600 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)))
(/.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))
(/.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 17/40320 binary64) (neg.f64 x))) x #s(literal 1/240 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 17/40320 binary64) x)) x #s(literal 1/240 binary64))
(fma.f64 (*.f64 #s(literal 17/40320 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/240 binary64))
(fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 17/40320 binary64))) #s(literal 1/240 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 17/40320 binary64) x)) #s(literal 1/240 binary64))
(fma.f64 x (*.f64 #s(literal 17/40320 binary64) x) #s(literal 1/240 binary64))
(-.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))))
(-.f64 #s(literal 1/240 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 17/40320 binary64) x)) x))
(-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/13824000 binary64) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 #s(literal 1/13824000 binary64) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(+.f64 (/.f64 #s(literal 1/13824000 binary64) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 #s(literal 1/13824000 binary64) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (/.f64 #s(literal -1/57600 binary64) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))))
(+.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))
(+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)))
#s(literal 17/40320 binary64)

eval76.0ms (1.6%)

Memory
-11.1MiB live, 91.7MiB allocated; 36ms collecting garbage
Compiler

Compiled 19 019 to 2 160 computations (88.6% saved)

prune13.0ms (0.3%)

Memory
34.6MiB live, 34.6MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New4874491
Fresh000
Picked055
Done011
Total48710497
Accuracy
100.0%
Counts
497 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
53.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
53.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
53.1%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
52.7%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
52.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
52.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x))
4.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x))
53.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
100.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 182 to 131 computations (28% saved)

series12.0ms (0.3%)

Memory
-29.9MiB live, 17.1MiB allocated; 4ms collecting garbage
Counts
27 → 69
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x))
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal 17/40320 binary64)
Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(pow x 2)
x
(* x (+ 1/2 (* -1/24 (pow x 2))))
(+ 1/2 (* -1/24 (pow x 2)))
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))))
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))
(* 1/24 x)
(* x (+ 1/24 (* 1/240 (pow x 2))))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
1/240
(+ 1/240 (* 17/40320 (pow x 2)))
(/ (- 1 (cos x)) (sin x))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/240 (pow x 5))
(* -1 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* -1/240 (pow x 4))
(* -1 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/240 (pow x 3))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* -17/40320 (pow x 7))
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -17/40320 (pow x 6))
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 5))
(* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 2))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))))
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* 1/24 (* x x))) x) (- 1/2 (* 1/24 (* x x))) 1/2 (* 1/24 (* x x)) (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (* (* (+ (* 1/240 (* x x)) 1/24) x) x) (* (+ (* 1/240 (* x x)) 1/24) x) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320)
3.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* 1/24 (* x x))) x) (- 1/2 (* 1/24 (* x x))) 1/2 (* 1/24 (* x x)) (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (* (* (+ (* 1/240 (* x x)) 1/24) x) x) (* (+ (* 1/240 (* x x)) 1/24) x) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320)
2.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* 1/24 (* x x))) x) (- 1/2 (* 1/24 (* x x))) 1/2 (* 1/24 (* x x)) (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (* (* (+ (* 1/240 (* x x)) 1/24) x) x) (* (+ (* 1/240 (* x x)) 1/24) x) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320)

simplify213.0ms (4.6%)

Memory
42.6MiB live, 179.9MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129708
1442708
21535699
35658699
08205662
Stop Event
iter limit
node limit
Counts
69 → 68
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(pow x 2)
x
(* x (+ 1/2 (* -1/24 (pow x 2))))
(+ 1/2 (* -1/24 (pow x 2)))
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))))
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))
(* 1/24 x)
(* x (+ 1/24 (* 1/240 (pow x 2))))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
1/240
(+ 1/240 (* 17/40320 (pow x 2)))
(/ (- 1 (cos x)) (sin x))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/240 (pow x 5))
(* -1 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* -1/240 (pow x 4))
(* -1 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/240 (pow x 3))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* -17/40320 (pow x 7))
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -17/40320 (pow x 6))
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 5))
(* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 2))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))))
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(pow x 2)
(*.f64 x x)
x
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/240 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/240 (pow x 2)))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x)
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64))
1/240
#s(literal 1/240 binary64)
(+ 1/240 (* 17/40320 (pow x 2)))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* -1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* -1/24 (pow x 2))
(*.f64 #s(literal -1/24 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/240 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64))
(* -1 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1/240 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/240 binary64))
(* -1 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/240 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/240 binary64))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)))
(* 1/240 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/240 binary64))
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(* 1/240 (pow x 2))
(*.f64 #s(literal 1/240 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* -17/40320 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/40320 binary64))
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/40320 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64)))
(* -17/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -17/40320 binary64))
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64))))
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/40320 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(* 17/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/40320 binary64))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 17/40320 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 17/40320 binary64))
(* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 17/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 17/40320 (pow x 2))
(*.f64 #s(literal 17/40320 binary64) (*.f64 x x))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 5) (- (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -17/40320 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64))))

rewrite172.0ms (3.7%)

Memory
0.0MiB live, 189.6MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035282
055270
1216270
21565270
08651264
Stop Event
iter limit
node limit
iter limit
Counts
27 → 396
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x))
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal 17/40320 binary64)
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x))
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)
(*.f64 x #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/24 binary64) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(fabs.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.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))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 1/24 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) x)) (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) x)) (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))) (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) x) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))) (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))))
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(/.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))
(/.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 17/40320 binary64) (neg.f64 x))) x #s(literal 1/240 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 17/40320 binary64) x)) x #s(literal 1/240 binary64))
(fma.f64 (*.f64 #s(literal 17/40320 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/240 binary64))
(fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 17/40320 binary64))) #s(literal 1/240 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 17/40320 binary64) x)) #s(literal 1/240 binary64))
(fma.f64 x (*.f64 #s(literal 17/40320 binary64) x) #s(literal 1/240 binary64))
(-.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))))
(-.f64 #s(literal 1/240 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 17/40320 binary64) x)) x))
(-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/13824000 binary64) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 #s(literal 1/13824000 binary64) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(+.f64 (/.f64 #s(literal 1/13824000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 #s(literal 1/13824000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (/.f64 #s(literal -1/57600 binary64) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))))
(+.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))
(+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)))
#s(literal 17/40320 binary64)

eval73.0ms (1.6%)

Memory
-26.9MiB live, 109.4MiB allocated; 12ms collecting garbage
Compiler

Compiled 21 836 to 3 035 computations (86.1% saved)

prune15.0ms (0.3%)

Memory
35.7MiB live, 35.7MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New5455550
Fresh000
Picked224
Done066
Total54713560
Accuracy
100.0%
Counts
560 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
53.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
53.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
53.1%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
52.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
52.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
52.7%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
52.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
52.7%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
52.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
4.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x))
53.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
100.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 414 to 291 computations (29.7% saved)

series12.0ms (0.3%)

Memory
-43.2MiB live, 11.6MiB allocated; 8ms collecting garbage
Counts
29 → 53
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal -1/24 binary64) x)
#s(literal -1/24 binary64)
x
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x))
(*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x)
#s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/24 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)
#s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal -1/240 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)
#s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64))
(*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x)
(fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))
#s(literal -17/40320 binary64)
Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* x (+ 1/2 (* -1/24 (pow x 2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(* -1/24 x)
x
(* -1/24 (pow x 2))
(pow x 2)
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))))
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))
-1/24
(- (* -1/240 (pow x 2)) 1/24)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))
(- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)
(* -1/240 x)
(* x (- (* -17/40320 (pow x 2)) 1/240))
-1/240
(- (* -17/40320 (pow x 2)) 1/240)
(/ (- 1 (cos x)) (sin x))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/240 (pow x 5))
(* -1 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* -1/240 (pow x 4))
(* -1 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* -1/240 (pow x 2))
(* -1 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* -17/40320 (pow x 7))
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -17/40320 (pow x 6))
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -17/40320 (pow x 4))
(* -1 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* -17/40320 (pow x 3))
(* -1 (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* -17/40320 (pow x 2))
(* -1 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))))
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (* (+ (* (* -1/24 x) x) 1/2) x) (+ (* (* -1/24 x) x) 1/2) (* -1/24 x) -1/24 x 1/2 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* 1/24 (* x x))) x) (- 1/2 (* 1/24 (* x x))) (* -1/24 (* x x)) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) -1/24) 1/2) x) (+ (* (* x x) -1/24) 1/2) (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (+ (* (+ (* -1/240 (* x x)) -1/24) (* x x)) 1/2) (+ (* -1/240 (* x x)) -1/24) -1/240 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (+ (* (+ (* (* (+ (* -17/40320 (* x x)) -1/240) x) x) -1/24) (* x x)) 1/2) (+ (* (* (+ (* -17/40320 (* x x)) -1/240) x) x) -1/24) (* (+ (* -17/40320 (* x x)) -1/240) x) (+ (* -17/40320 (* x x)) -1/240) -17/40320)
3.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (* (+ (* (* -1/24 x) x) 1/2) x) (+ (* (* -1/24 x) x) 1/2) (* -1/24 x) -1/24 x 1/2 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* 1/24 (* x x))) x) (- 1/2 (* 1/24 (* x x))) (* -1/24 (* x x)) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) -1/24) 1/2) x) (+ (* (* x x) -1/24) 1/2) (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (+ (* (+ (* -1/240 (* x x)) -1/24) (* x x)) 1/2) (+ (* -1/240 (* x x)) -1/24) -1/240 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (+ (* (+ (* (* (+ (* -17/40320 (* x x)) -1/240) x) x) -1/24) (* x x)) 1/2) (+ (* (* (+ (* -17/40320 (* x x)) -1/240) x) x) -1/24) (* (+ (* -17/40320 (* x x)) -1/240) x) (+ (* -17/40320 (* x x)) -1/240) -17/40320)
2.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (* (+ (* (* -1/24 x) x) 1/2) x) (+ (* (* -1/24 x) x) 1/2) (* -1/24 x) -1/24 x 1/2 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* 1/24 (* x x))) x) (- 1/2 (* 1/24 (* x x))) (* -1/24 (* x x)) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) -1/24) 1/2) x) (+ (* (* x x) -1/24) 1/2) (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (+ (* (+ (* -1/240 (* x x)) -1/24) (* x x)) 1/2) (+ (* -1/240 (* x x)) -1/24) -1/240 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (+ (* (+ (* (* (+ (* -17/40320 (* x x)) -1/240) x) x) -1/24) (* x x)) 1/2) (+ (* (* (+ (* -17/40320 (* x x)) -1/240) x) x) -1/24) (* (+ (* -17/40320 (* x x)) -1/240) x) (+ (* -17/40320 (* x x)) -1/240) -17/40320)

simplify150.0ms (3.2%)

Memory
19.9MiB live, 111.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121540
1396540
21483530
35303530
08250502
Stop Event
iter limit
node limit
Counts
53 → 52
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* x (+ 1/2 (* -1/24 (pow x 2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(* -1/24 x)
x
(* -1/24 (pow x 2))
(pow x 2)
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))))
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))
-1/24
(- (* -1/240 (pow x 2)) 1/24)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))
(- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)
(* -1/240 x)
(* x (- (* -17/40320 (pow x 2)) 1/240))
-1/240
(- (* -17/40320 (pow x 2)) 1/240)
(/ (- 1 (cos x)) (sin x))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/240 (pow x 5))
(* -1 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* -1/240 (pow x 4))
(* -1 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* -1/240 (pow x 2))
(* -1 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(* -17/40320 (pow x 7))
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -17/40320 (pow x 6))
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -17/40320 (pow x 4))
(* -1 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(* -17/40320 (pow x 3))
(* -1 (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* -17/40320 (pow x 2))
(* -1 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))))
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6))))))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
x
(* -1/24 (pow x 2))
(*.f64 #s(literal -1/24 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
-1/24
#s(literal -1/24 binary64)
(- (* -1/240 (pow x 2)) 1/24)
(fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)
(fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64))
(* -1/240 x)
(*.f64 #s(literal -1/240 binary64) x)
(* x (- (* -17/40320 (pow x 2)) 1/240))
(*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x)
-1/240
#s(literal -1/240 binary64)
(- (* -17/40320 (pow x 2)) 1/240)
(fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(* -1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)
(* -1/240 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64))
(* -1 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1/240 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/240 binary64))
(* -1 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -1/240 (pow x 2))
(*.f64 #s(literal -1/240 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(* -17/40320 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/40320 binary64))
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/40320 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64)))
(* -17/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -17/40320 binary64))
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64))))
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/40320 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(* -17/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/40320 binary64))
(* -1 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -17/40320 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -17/40320 binary64))
(* -1 (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x)
(* -17/40320 (pow x 2))
(*.f64 #s(literal -17/40320 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 5) (- (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -17/40320 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64)))

rewrite107.0ms (2.3%)

Memory
7.5MiB live, 53.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052392
078374
1324374
02491365
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
29 → 256
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal -1/24 binary64) x)
#s(literal -1/24 binary64)
x
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x))
(*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x)
#s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/24 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)
#s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal -1/240 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)
#s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64))
(*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x)
(fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))
#s(literal -17/40320 binary64)
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64))) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/13824 binary64))) x) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/13824 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) x))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/13824 binary64))) (neg.f64 (fma.f64 #s(literal -1/24 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal -1/24 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal -1/24 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) (fma.f64 #s(literal -1/24 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64))
(fma.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) #s(literal -1/24 binary64))
(fma.f64 x (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) #s(literal -1/24 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal -1/24 binary64))))
(-.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x)) x))
(-.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 x x)))
(-.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1/13824 binary64) (fma.f64 #s(literal -1/24 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x) #s(literal -1/24 binary64))
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x))
(*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x)
(*.f64 x (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) x) (-.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -4913/65548320768000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824000 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64))) (-.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal -4913/65548320768000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824000 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))
(fma.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/240 binary64) x))
(fma.f64 #s(literal -1/240 binary64) x (*.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) x))
(fma.f64 #s(literal -1/240 binary64) x (*.f64 x (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) (*.f64 #s(literal -1/240 binary64) x))
(fma.f64 x #s(literal -1/240 binary64) (*.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) x))
(fma.f64 x #s(literal -1/240 binary64) (*.f64 x (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) x) (*.f64 #s(literal -1/240 binary64) x))
(+.f64 (*.f64 x (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) (*.f64 #s(literal -1/240 binary64) x))
(+.f64 (*.f64 #s(literal -1/240 binary64) x) (*.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) x))
(+.f64 (*.f64 #s(literal -1/240 binary64) x) (*.f64 x (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1/57600 binary64) (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal -1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -4913/65548320768000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824000 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) (-.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64)))
(/.f64 (fma.f64 #s(literal -4913/65548320768000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824000 binary64)) (+.f64 #s(literal 1/57600 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))
(/.f64 (fma.f64 #s(literal -4913/65548320768000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824000 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))
(fma.f64 (*.f64 #s(literal -17/40320 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/240 binary64))
(fma.f64 (*.f64 #s(literal -17/40320 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/240 binary64))
(fma.f64 (*.f64 #s(literal -17/40320 binary64) x) x #s(literal -1/240 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -17/40320 binary64)) #s(literal -1/240 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -17/40320 binary64)) #s(literal -1/240 binary64))
(fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/40320 binary64) #s(literal -1/240 binary64))
(fma.f64 x (*.f64 #s(literal -17/40320 binary64) x) #s(literal -1/240 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64))))
(-.f64 #s(literal -1/240 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -17/40320 binary64) x)) x))
(-.f64 #s(literal -1/240 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -17/40320 binary64)))
(-.f64 #s(literal -1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))) (/.f64 #s(literal -1/13824000 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))
(+.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64))
(+.f64 #s(literal -1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)))
#s(literal -17/40320 binary64)

eval78.0ms (1.7%)

Memory
-29.9MiB live, 47.2MiB allocated; 55ms collecting garbage
Compiler

Compiled 13 977 to 1 647 computations (88.2% saved)

prune21.0ms (0.5%)

Memory
-11.8MiB live, 36.0MiB allocated; 3ms collecting garbage
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New3515356
Fresh000
Picked325
Done268
Total35613369
Accuracy
100.0%
Counts
369 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
53.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
53.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
53.1%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
52.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
52.7%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -17/40320 (* x x)) -1/240) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
52.7%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x))
52.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x))
4.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x))
4.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x))
25.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* -1/24 x) x) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) x))
53.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
100.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 822 to 358 computations (56.4% saved)

regimes12.0ms (0.3%)

Memory
18.1MiB live, 18.0MiB allocated; 0ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* -1/24 x) x) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -17/40320 (* x x)) -1/240) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
Calls

2 calls:

5.0ms
x
5.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
100.0%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes13.0ms (0.3%)

Memory
-28.4MiB live, 17.8MiB allocated; 4ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* -1/24 x) x) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -17/40320 (* x x)) -1/240) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
Calls

2 calls:

7.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
5.0ms
x
Results
AccuracySegmentsBranch
53.2%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
53.2%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.2%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* -1/24 x) x) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -17/40320 (* x x)) -1/240) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
Calls

2 calls:

4.0ms
x
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
53.2%1x
53.2%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
53.1%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
53.1%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Accuracy

Total -32.0b remaining (-106.3%)

Threshold costs -32b (-106.3%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
53.0%1x
53.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify27.0ms (0.6%)

Memory
-15.6MiB live, 30.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02771
14171
25471
38271
415671
570171
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))

derivations190.0ms (4.1%)

Memory
-19.1MiB live, 123.4MiB allocated; 12ms collecting garbage
Stop Event
fuel
Compiler

Compiled 86 to 27 computations (68.6% saved)

preprocess35.0ms (0.8%)

Memory
10.0MiB live, 56.3MiB allocated; 5ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 218 to 94 computations (56.9% saved)

end0.0ms (0%)

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

Profiling

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