ENA, Section 1.4, Exercise 4a

Time bar (total: 6.6s)

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.7%6.2%50%0%0%0%4
93.8%46.8%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%49.9%0%50%0%0%0%11
100%49.9%0%50%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample4.3s (64.4%)

Memory
23.2MiB live, 4 824.5MiB allocated; 1.1s collecting garbage
Samples
3.2s5 778×2valid
443.0ms2 397×1valid
5.0ms81×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-sin: 2.1s (63.7% of total)
adjust: 541.0ms (16.7% of total)
ival-div: 248.0ms (7.7% of total)
ival-sub: 239.0ms (7.4% of total)
ival-<=: 60.0ms (1.9% of total)
ival-tan: 54.0ms (1.7% of total)
ival-and: 13.0ms (0.4% of total)
exact: 12.0ms (0.4% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain219.0ms (3.3%)

Memory
22.9MiB live, 259.2MiB allocated; 32ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
930-0-(-.f64 x (sin.f64 x))
470-3(-2.1143238489723569e-106)(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
00-0-(tan.f64 x)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 x (sin.f64 x))cancellation930
/.f64(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))u/n440
(-.f64 x (sin.f64 x))underflow163
Confusion
Predicted +Predicted -
+1370
-0119
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13700
-00119
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0119
1137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
152.0ms356×2valid
22.0ms154×1valid
0.0ms0valid
Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-sin: 96.0ms (67.4% of total)
adjust: 21.0ms (14.7% of total)
ival-div: 13.0ms (9.1% of total)
ival-sub: 7.0ms (4.9% of total)
ival-tan: 4.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess231.0ms (3.5%)

Memory
-2.3MiB live, 224.2MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
12119
25219
39619
417419
539219
699719
7239919
8643919
057
097
1157
2187
3237
4327
5547
61047
72277
86187
918537
1048167
080807
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

series5.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
5 → 22
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
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))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))
Calls

3 calls:

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

simplify168.0ms (2.5%)

Memory
5.3MiB live, 202.1MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105261
1342247
21118245
33866231
08771210
Stop Event
iter limit
node limit
Counts
22 → 21
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
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))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (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)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(sin x)
(sin.f64 x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))

rewrite182.0ms (2.8%)

Memory
9.7MiB live, 199.0MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0916
13316
222816
3219316
0899016
Stop Event
iter limit
node limit
iter limit
Counts
5 → 208
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)
Outputs
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (neg.f64 (cos.f64 x)))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(*.f64 (/.f64 (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(*.f64 (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x)) (tan.f64 x))))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x) (*.f64 (sin.f64 x) (neg.f64 (neg.f64 x)))) (*.f64 (tan.f64 x) (sin.f64 x)))
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) (*.f64 (neg.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x) (*.f64 (sin.f64 x) x)) (*.f64 (tan.f64 x) (sin.f64 x)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 x) (*.f64 (tan.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (tan.f64 x) (sin.f64 x)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (neg.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) (tan.f64 x) (*.f64 (tan.f64 x) x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 x (cos.f64 x)))) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) x)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (tan.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (tan.f64 x) (sin.f64 x)))
(/.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (*.f64 (tan.f64 x) (neg.f64 (neg.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (*.f64 (tan.f64 x) x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (tan.f64 x) (*.f64 (sin.f64 x) (neg.f64 (neg.f64 (sin.f64 x))))) (*.f64 (tan.f64 x) (sin.f64 x)))
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (tan.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (tan.f64 x) (sin.f64 x)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (sin.f64 x) (*.f64 (tan.f64 x) (*.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (tan.f64 x) (sin.f64 x)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (neg.f64 (sin.f64 x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (tan.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (neg.f64 (sin.f64 x))))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(/.f64 (fma.f64 (sin.f64 x) x (*.f64 (tan.f64 x) (*.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (tan.f64 x) (sin.f64 x)))
(/.f64 (fma.f64 (tan.f64 x) x (*.f64 (tan.f64 x) (neg.f64 (neg.f64 (sin.f64 x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 (*.f64 x (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))) (tan.f64 x))
(/.f64 (-.f64 x (neg.f64 (neg.f64 (sin.f64 x)))) (tan.f64 x))
(/.f64 (-.f64 (neg.f64 (neg.f64 x)) (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (tan.f64 x)) (tan.f64 x))
(/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
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(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))))
(fma.f64 x (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (sin.f64 x))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))))
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (sin.f64 x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (sin.f64 x)) (sin.f64 x) (*.f64 x x))))
(+.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) x)
(+.f64 x (sin.f64 x))
x
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 #s(literal 2 binary64)))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 x))))
(fabs.f64 (neg.f64 (sin.f64 x)))
(fabs.f64 (sin.f64 x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sin.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sin.f64 x))) (sinh.f64 (log.f64 (sin.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 0 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 2 binary64)))
(/.f64 (+.f64 (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x)))))))
(/.f64 (sin.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x)))) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))))
(tan.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64))))
(tan.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64))))
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 (neg.f64 (+.f64 (PI.f64) x)))))
(tan.f64 (+.f64 (PI.f64) (neg.f64 (neg.f64 (+.f64 (PI.f64) x)))))
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 (neg.f64 x))))
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(tan.f64 (+.f64 (PI.f64) (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(tan.f64 (+.f64 (PI.f64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) x)))
(tan.f64 (+.f64 (+.f64 (PI.f64) (PI.f64)) x))
(tan.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))) (+.f64 (PI.f64) (PI.f64))))
(tan.f64 (+.f64 (neg.f64 (neg.f64 x)) (+.f64 (PI.f64) (PI.f64))))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (+.f64 (PI.f64) (PI.f64))))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) (PI.f64))))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) (PI.f64))))
(tan.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (neg.f64 (neg.f64 x))))
(tan.f64 (+.f64 (neg.f64 (neg.f64 x)) (PI.f64)))
(tan.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))))
(tan.f64 (neg.f64 (neg.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))

eval107.0ms (1.6%)

Memory
-40.3MiB live, 61.3MiB allocated; 19ms collecting garbage
Compiler

Compiled 4 405 to 746 computations (83.1% saved)

prune7.0ms (0.1%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2236229
Fresh000
Picked101
Done000
Total2246230
Accuracy
99.9%
Counts
230 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(/.f64 #s(approx (- x (sin x)) (*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
84.2%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
99.8%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 242 to 162 computations (33.1% saved)

series38.0ms (0.6%)

Memory
-5.7MiB live, 39.5MiB allocated; 3ms collecting garbage
Counts
35 → 65
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x))
#s(literal -143/604800 binary64)
#s(literal 11/15120 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 x)
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(* -11/15120 (pow x 2))
(pow x 2)
x
(pow x 4)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
-11/15120
(- (* -143/604800 (pow x 2)) 11/15120)
(* -143/604800 (pow x 2))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(pow x 3)
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ (sin x) x) 1)))
Calls

3 calls:

TimeVariablePointExpression
29.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (* -11/15120 (* x x)) -11/15120 (* x x) x 23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) -23/360 (/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) 4 (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))
5.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (* -11/15120 (* x x)) -11/15120 (* x x) x 23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) -23/360 (/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) 4 (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))
3.0ms
x
@0
((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (* -11/15120 (* x x)) -11/15120 (* x x) x 23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) -23/360 (/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) 4 (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))

simplify143.0ms (2.2%)

Memory
6.1MiB live, 189.2MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159632
1526624
21923615
36017615
08542584
Stop Event
iter limit
node limit
Counts
65 → 64
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(* -11/15120 (pow x 2))
(pow x 2)
x
(pow x 4)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
-11/15120
(- (* -143/604800 (pow x 2)) 11/15120)
(* -143/604800 (pow x 2))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(pow x 3)
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ (sin x) x) 1)))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(* -11/15120 (pow x 2))
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
x
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(*.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x)
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x)
-11/15120
#s(literal -11/15120 binary64)
(- (* -143/604800 (pow x 2)) 11/15120)
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(* -143/604800 (pow x 2))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal -143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64)))
(* -143/604800 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal -143/604800 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -143/604800 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x)
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(* x (+ 1 (* -1 (/ (sin x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)

rewrite84.0ms (1.3%)

Memory
-20.6MiB live, 83.8MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039283
063283
1211283
01446283
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
35 → 257
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x))
#s(literal -143/604800 binary64)
#s(literal 11/15120 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 x)
Outputs
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 3 binary64)) #s(literal 12167/46656000 binary64))) (neg.f64 (fma.f64 #s(literal 23/360 binary64) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x #s(literal 23/360 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 2 binary64)) #s(literal 529/129600 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x #s(literal 23/360 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 3 binary64)) #s(literal 12167/46656000 binary64)) (fma.f64 #s(literal 23/360 binary64) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x #s(literal 23/360 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x #s(literal 23/360 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #s(literal 23/360 binary64) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x #s(literal 23/360 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 23/360 binary64) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x #s(literal 23/360 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)))
(*.f64 x (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x))
(/.f64 (*.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -121/228614400 binary64)) (*.f64 x x)) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1331/3456649728000 binary64)) (*.f64 x x)) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(*.f64 x (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -121/228614400 binary64)) x) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1331/3456649728000 binary64)) x) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -121/228614400 binary64))) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1331/3456649728000 binary64))) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -121/228614400 binary64))) (neg.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1331/3456649728000 binary64))) (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64)))))
(/.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -121/228614400 binary64)) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1331/3456649728000 binary64)) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64))) (/.f64 #s(literal 121/228614400 binary64) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64)))) (/.f64 #s(literal 1331/3456649728000 binary64) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64)))))
(-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))
(*.f64 (*.f64 #s(literal -143/604800 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal -143/604800 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal -143/604800 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -143/604800 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -143/604800 binary64)))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(*.f64 x (*.f64 #s(literal -143/604800 binary64) x))
#s(literal -143/604800 binary64)
#s(literal 11/15120 binary64)
(*.f64 (/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (neg.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))) (neg.f64 (neg.f64 (tan.f64 x))))
(/.f64 (neg.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (tan.f64 x)))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
(neg.f64 (/.f64 (neg.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x)))
(neg.f64 (/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (neg.f64 (tan.f64 x))))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal 3 binary64)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (+.f64 (PI.f64) x)) (cos.f64 (+.f64 (PI.f64) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)

eval47.0ms (0.7%)

Memory
32.4MiB live, 77.7MiB allocated; 7ms collecting garbage
Compiler

Compiled 12 003 to 1 645 computations (86.3% saved)

prune19.0ms (0.3%)

Memory
-17.0MiB live, 28.8MiB allocated; 3ms collecting garbage
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New40411415
Fresh101
Picked325
Done000
Total40813421
Accuracy
100.0%
Counts
421 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.1%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
99.8%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) x))
99.8%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.0%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
51.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
98.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
36.8%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
27.5%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 605 to 411 computations (32.1% saved)

series10.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Counts
34 → 46
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(pow x 2)
x
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(pow x 4)
(pow x 3)
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 x)
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (+ (* -11/15120 (* x x)) -23/360) -11/15120 (* x x) x -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (- (/ 1/6 (* x x)) 23/360) x) x) (* (- (/ 1/6 (* x x)) 23/360) x) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (pow x 4) 4 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (* (- (/ 1/6 (* x x)) 23/360) (pow x 3)) (pow x 3) 3)
3.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (+ (* -11/15120 (* x x)) -23/360) -11/15120 (* x x) x -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (- (/ 1/6 (* x x)) 23/360) x) x) (* (- (/ 1/6 (* x x)) 23/360) x) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (pow x 4) 4 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (* (- (/ 1/6 (* x x)) 23/360) (pow x 3)) (pow x 3) 3)
2.0ms
x
@0
((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (+ (* -11/15120 (* x x)) -23/360) -11/15120 (* x x) x -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (- (/ 1/6 (* x x)) 23/360) x) x) (* (- (/ 1/6 (* x x)) 23/360) x) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (pow x 4) 4 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (* (- (/ 1/6 (* x x)) 23/360) (pow x 3)) (pow x 3) 3)

simplify168.0ms (2.5%)

Memory
-29.8MiB live, 158.8MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091406
1272406
2913393
33157392
08437378
Stop Event
iter limit
node limit
Counts
46 → 45
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(pow x 2)
x
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(pow x 4)
(pow x 3)
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 x)
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(pow x 2)
(*.f64 x x)
x
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(/ 1/6 (pow x 2))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -23/360 binary64) x) x) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -23/360 binary64) x) x) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -23/360 binary64) x) x) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -11/15120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -23/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) x) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) x)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(*.f64 (+.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -23/360 binary64) x) x)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) x)

rewrite64.0ms (1%)

Memory
34.2MiB live, 80.9MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047439
069439
1217439
01390426
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
34 → 192
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))
(fma.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))
(+.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) #s(literal 1/6 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)) x))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))
(/.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64))) (neg.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))
(/.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(/.f64 (fma.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64)) (+.f64 #s(literal 529/129600 binary64) (-.f64 (*.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))
(/.f64 (fma.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64)) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 x (*.f64 #s(literal -11/15120 binary64) x) #s(literal -23/360 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))
(-.f64 #s(literal -23/360 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -11/15120 binary64) x)) x))
(-.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -11/15120 binary64)))
(-.f64 #s(literal -23/360 binary64) (*.f64 #s(literal 11/15120 binary64) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))) (/.f64 #s(literal -12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
#s(literal -11/15120 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x))
(*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
(*.f64 x #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) (*.f64 x x)))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)))
(*.f64 x (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x))
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
(*.f64 x #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)))
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(*.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 12167/46656000 binary64)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (/.f64 #s(literal 23/2160 binary64) (*.f64 x x))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 12167/46656000 binary64)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (/.f64 #s(literal 23/2160 binary64) (*.f64 x x))))
(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 12167/46656000 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (/.f64 #s(literal 23/2160 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 12167/46656000 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (/.f64 #s(literal 23/2160 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 12167/46656000 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (/.f64 #s(literal 23/2160 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (/.f64 #s(literal 23/2160 binary64) (*.f64 x x)))) (/.f64 #s(literal 12167/46656000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (/.f64 #s(literal 23/2160 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 x) x)))
#s(literal 23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) (*.f64 x x))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 12167/46656000 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (/.f64 #s(literal 23/2160 binary64) (*.f64 x x))))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 12167/46656000 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (/.f64 #s(literal 23/2160 binary64) (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
#s(literal 4 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))) x))
(*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))) x)
(*.f64 x #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x) x)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) (*.f64 x x))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x))
(*.f64 x (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 12167/46656000 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (/.f64 #s(literal 23/2160 binary64) (*.f64 x x))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 12167/46656000 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (/.f64 #s(literal 23/2160 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal 3 binary64)

eval51.0ms (0.8%)

Memory
-6.7MiB live, 47.5MiB allocated; 6ms collecting garbage
Compiler

Compiled 11 318 to 1 449 computations (87.2% saved)

prune50.0ms (0.8%)

Memory
-19.0MiB live, 26.7MiB allocated; 4ms collecting garbage
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New3443347
Fresh156
Picked055
Done022
Total34515360
Accuracy
100.0%
Counts
360 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.1%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
99.8%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) x))
99.8%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.0%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
51.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
99.0%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (- (/ 1/6 (* x x)) 23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
98.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
36.8%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
50.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) (*.f64 x x))) x))
27.5%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 596 to 398 computations (33.2% saved)

series23.0ms (0.3%)

Memory
22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Counts
48 → 77
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) (*.f64 x x))) x))
(*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) (*.f64 x x))) x)
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) (*.f64 x x))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) x)
(/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))
(*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x)
(fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64))
#s(literal -12167/46656000 binary64)
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/216 binary64)
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))
#s(literal 1/36 binary64)
(*.f64 (*.f64 x x) #s(literal -23/2160 binary64))
#s(literal -23/2160 binary64)
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(pow x 2)
x
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(pow x 4)
-1/6
(- (* -23/360 (pow x 2)) 1/6)
(* 1/216 x)
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
1/216
(+ 1/216 (* -12167/46656000 (pow x 6)))
(pow x 6)
1/36
(+ 1/36 (* 23/2160 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))
(* -23/2160 (pow x 2))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -12167/46656000 (pow x 7))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -12167/46656000 (pow x 6))
(* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* 23/2160 (pow x 2))
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2)))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* 1/6 x)) x) (+ (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* 1/6 x)) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 (* 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (* (* (- (/ 1/6 (* x x)) 23/360) x) (* x x)) (* (- (/ 1/6 (* x x)) 23/360) x) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* 529/129600 (pow x 4)) -1/36) x) (- (* -23/360 (* x x)) 1/6)) x) (/ (* (+ (* 529/129600 (pow x 4)) -1/36) x) (- (* -23/360 (* x x)) 1/6)) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (+ (* 529/129600 (pow x 4)) -1/36) 529/129600 (pow x 4) 4 -1/36 (- (* -23/360 (* x x)) 1/6) (* -23/360 (* x x)) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* -12167/46656000 (pow (* x x) 3)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) x) (/ (* (+ (* -12167/46656000 (pow (* x x) 3)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) (* (+ (* -12167/46656000 (pow (* x x) 3)) 1/216) x) (+ (* -12167/46656000 (pow (* x x) 3)) 1/216) -12167/46656000 (pow (* x x) 3) 3 1/216 (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160))) (- 1/36 (* (* x x) -23/2160)) 1/36 (* (* x x) -23/2160) -23/2160)
7.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* 1/6 x)) x) (+ (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* 1/6 x)) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 (* 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (* (* (- (/ 1/6 (* x x)) 23/360) x) (* x x)) (* (- (/ 1/6 (* x x)) 23/360) x) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* 529/129600 (pow x 4)) -1/36) x) (- (* -23/360 (* x x)) 1/6)) x) (/ (* (+ (* 529/129600 (pow x 4)) -1/36) x) (- (* -23/360 (* x x)) 1/6)) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (+ (* 529/129600 (pow x 4)) -1/36) 529/129600 (pow x 4) 4 -1/36 (- (* -23/360 (* x x)) 1/6) (* -23/360 (* x x)) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* -12167/46656000 (pow (* x x) 3)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) x) (/ (* (+ (* -12167/46656000 (pow (* x x) 3)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) (* (+ (* -12167/46656000 (pow (* x x) 3)) 1/216) x) (+ (* -12167/46656000 (pow (* x x) 3)) 1/216) -12167/46656000 (pow (* x x) 3) 3 1/216 (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160))) (- 1/36 (* (* x x) -23/2160)) 1/36 (* (* x x) -23/2160) -23/2160)
5.0ms
x
@0
((/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* 1/6 x)) x) (+ (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* 1/6 x)) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 (* 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (* (* (- (/ 1/6 (* x x)) 23/360) x) (* x x)) (* (- (/ 1/6 (* x x)) 23/360) x) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* 529/129600 (pow x 4)) -1/36) x) (- (* -23/360 (* x x)) 1/6)) x) (/ (* (+ (* 529/129600 (pow x 4)) -1/36) x) (- (* -23/360 (* x x)) 1/6)) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (+ (* 529/129600 (pow x 4)) -1/36) 529/129600 (pow x 4) 4 -1/36 (- (* -23/360 (* x x)) 1/6) (* -23/360 (* x x)) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* -12167/46656000 (pow (* x x) 3)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) x) (/ (* (+ (* -12167/46656000 (pow (* x x) 3)) 1/216) x) (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160)))) (* (+ (* -12167/46656000 (pow (* x x) 3)) 1/216) x) (+ (* -12167/46656000 (pow (* x x) 3)) 1/216) -12167/46656000 (pow (* x x) 3) 3 1/216 (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160))) (- 1/36 (* (* x x) -23/2160)) 1/36 (* (* x x) -23/2160) -23/2160)

simplify155.0ms (2.3%)

Memory
-12.7MiB live, 77.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0152611
1452611
21491597
34789596
08380568
Stop Event
iter limit
node limit
Counts
77 → 76
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(pow x 2)
x
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(pow x 4)
-1/6
(- (* -23/360 (pow x 2)) 1/6)
(* 1/216 x)
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
1/216
(+ 1/216 (* -12167/46656000 (pow x 6)))
(pow x 6)
1/36
(+ 1/36 (* 23/2160 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))
(* -23/2160 (pow x 2))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -12167/46656000 (pow x 7))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -12167/46656000 (pow x 6))
(* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* 23/2160 (pow x 2))
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2)))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -23/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x)
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(pow x 2)
(*.f64 x x)
x
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(/ 1/6 (pow x 2))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64))
(* -1/36 x)
(*.f64 #s(literal -1/36 binary64) x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
-1/36
#s(literal -1/36 binary64)
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* -23/360 (pow x 2)) 1/6)
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(* 1/216 x)
(*.f64 #s(literal 1/216 binary64) x)
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x)
1/216
#s(literal 1/216 binary64)
(+ 1/216 (* -12167/46656000 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* 23/2160 (pow x 2)))
(fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 23/2160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))
(* -23/2160 (pow x 2))
(*.f64 #s(literal -23/2160 binary64) (*.f64 x x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -11/15120 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x)
(* -11/15120 (pow x 2))
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) x)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64))
(* 529/129600 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* 529/129600 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(* -12167/46656000 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -12167/46656000 binary64))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(*.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -12167/46656000 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64))
(* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(*.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 23/2160 binary64) (*.f64 x x)) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -23/2160 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 23/2160 (pow x 2))
(*.f64 #s(literal 23/2160 binary64) (*.f64 x x))
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(*.f64 (+.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) x)
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -12167/46656000 binary64)) (pow.f64 x #s(literal 7 binary64)))

rewrite109.0ms (1.6%)

Memory
18.2MiB live, 68.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056463
089407
1303377
02202374
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
48 → 574
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) (*.f64 x x))) x))
(*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) (*.f64 x x))) x)
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) (*.f64 x x))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) x)
(/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))
(*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x)
(fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64))
#s(literal -12167/46656000 binary64)
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/216 binary64)
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))
#s(literal 1/36 binary64)
(*.f64 (*.f64 x x) #s(literal -23/2160 binary64))
#s(literal -23/2160 binary64)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) x) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) x (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(fma.f64 x (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 #s(literal 1/6 binary64) x)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (*.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(+.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (*.f64 #s(literal 1/6 binary64) x)))
(+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) x)) (*.f64 x (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
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(/.f64 (neg.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 #s(literal -23/77760 binary64) (*.f64 x x) (*.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))))
(/.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))
(/.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (*.f64 x x) (*.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64))
(fma.f64 #s(literal -23/2160 binary64) (*.f64 (neg.f64 x) x) #s(literal 1/36 binary64))
(-.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 #s(literal -23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))
(-.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (*.f64 x x) (*.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (/.f64 (*.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal -23/77760 binary64) (*.f64 x x) (*.f64 #s(literal 529/4665600 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))))
(-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -23/2160 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))
(+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x)))
(+.f64 #s(literal 1/36 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -23/2160 binary64) x)))
(+.f64 #s(literal 1/36 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x))) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -23/2160 binary64)))
#s(literal 1/36 binary64)
(*.f64 (*.f64 #s(literal -23/2160 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal -23/2160 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal -23/2160 binary64) x) x)
(*.f64 (*.f64 #s(literal -23/360 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -23/2160 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -23/2160 binary64)))
(*.f64 #s(literal -23/2160 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))
(*.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal -23/2160 binary64))
(*.f64 x (*.f64 #s(literal -23/2160 binary64) x))
#s(literal -23/2160 binary64)

eval121.0ms (1.8%)

Memory
-2.5MiB live, 88.2MiB allocated; 8ms collecting garbage
Compiler

Compiled 22 572 to 3 146 computations (86.1% saved)

prune30.0ms (0.4%)

Memory
4.1MiB live, 50.2MiB allocated; 4ms collecting garbage
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New6814685
Fresh303
Picked235
Done257
Total68812700
Accuracy
100.0%
Counts
700 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)))
99.8%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
99.0%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) #s(approx (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160))) #s(literal 1/36 binary64))) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
99.8%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.0%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
51.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
98.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
50.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) (*.f64 x x))) x))
98.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 #s(approx (* (- (/ 1/6 (* x x)) 23/360) x) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) x))
Compiler

Compiled 952 to 387 computations (59.3% saved)

regimes16.0ms (0.2%)

Memory
-27.4MiB live, 22.5MiB allocated; 6ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 #s(approx (* (- (/ 1/6 (* x x)) 23/360) x) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (- (/ 1/6 (* x x)) 23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) (*.f64 x x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) #s(approx (+ (* 529/129600 (pow x 4)) (- 1/36 (* (* x x) -23/2160))) #s(literal 1/36 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

10.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.8%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.8%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 #s(approx (* (- (/ 1/6 (* x x)) 23/360) x) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (- (/ 1/6 (* x x)) 23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.7%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.7%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.0%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.0%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.9%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
98.9%1x
Compiler

Compiled 8 to 6 computations (25% saved)

simplify56.0ms (0.8%)

Memory
-16.0MiB live, 30.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03081
14781
29481
319281
429781
536581
646381
773081
8172581
9732281
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

derivations221.0ms (3.3%)

Memory
-5.2MiB live, 227.5MiB allocated; 43ms collecting garbage
Stop Event
fuel
Compiler

Compiled 81 to 32 computations (60.5% saved)

preprocess25.0ms (0.4%)

Memory
-0.0MiB live, 46.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 186 to 82 computations (55.9% saved)

end0.0ms (0%)

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

Profiling

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