ENA, Section 1.4, Exercise 4a

Time bar (total: 5.0s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.7%6.2%50%0%0%0%4
93.8%46.8%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%49.9%0%50%0%0%0%11
100%49.9%0%50%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample3.0s (61.3%)

Memory
9.1MiB live, 3 677.3MiB allocated; 562ms collecting garbage
Samples
2.3s5 846×2valid
416.0ms2 353×1valid
3.0ms57×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-sin: 1.7s (74% of total)
adjust: 352.0ms (14.9% of total)
ival-div!: 108.0ms (4.6% of total)
ival-sub!: 85.0ms (3.6% of total)
ival-tan: 69.0ms (2.9% of total)
Bogosity

explain257.0ms (5.2%)

Memory
0.8MiB live, 356.6MiB allocated; 113ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
911(-6.0617021882468775e-108)0-(-.f64 x (sin.f64 x))
501(-4.694331322181724e-162)4(-6.0617021882468775e-108)(/.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))cancellation920
/.f64(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))u/n470
(-.f64 x (sin.f64 x))underflow164
Confusion
Predicted +Predicted -
+1380
-1117
Precision
0.9928057553956835
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13800
-10117
Precision?
0.9928057553956835
Recall?
1.0
Freqs
test
numberfreq
0117
1139
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
195.0ms360×2valid
16.0ms152×1valid
Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-sin: 96.0ms (49.9% of total)
adjust: 82.0ms (42.6% of total)
ival-div!: 7.0ms (3.6% of total)
ival-sub!: 4.0ms (2.1% of total)
ival-tan: 4.0ms (2.1% of total)

preprocess60.0ms (1.2%)

Memory
-25.5MiB live, 20.4MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01125
12823
26222
311122
420822
545322
6110622
7268922
8699622
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Symmetry

(abs x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series5.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
5 → 25
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
Calls

3 calls:

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

rewrite166.0ms (3.4%)

Memory
15.8MiB live, 205.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137409
0143400
1735386
06349369
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
30 → 55
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
Outputs
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 x (tan.f64 x)) (/.f64 x (tan.f64 x))) (*.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))) (+.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (tan.f64 x)) (/.f64 x (tan.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)) (*.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)) (tan.f64 x)))
(/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (neg.f64 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(neg.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))))
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) x) (*.f64 x x))))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- x (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- x (sin x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (sin x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (sin x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (tan x) x)
#s(approx (tan x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (tan x) (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (tan x) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x))
#s(approx (- x (sin x)) x)
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (tan x) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))

eval5.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 876 to 223 computations (74.5% saved)

prune5.0ms (0.1%)

Memory
-36.7MiB live, 10.3MiB allocated; 2ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New52557
Fresh000
Picked101
Done000
Total53558
Accuracy
99.9%
Counts
58 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.0%
(/.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)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
99.8%
#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))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 196 to 128 computations (34.7% saved)

series16.0ms (0.3%)

Memory
39.0MiB live, 39.0MiB allocated; 0ms collecting garbage
Counts
34 → 96
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)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x))
#s(literal -143/604800 binary64)
#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
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* -11/15120 (* x x)) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -11/15120 x)))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* x (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 -11/15120))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* -143/604800 (* x x)) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (pow x 3) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -143/604800 (pow x 3))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
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)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 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)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 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)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))

rewrite218.0ms (4.4%)

Memory
-21.3MiB live, 311.8MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03102401
03552310
113272295
088192149
Stop Event
iter-limit
node-limit
iter-limit
Counts
130 → 505
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)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x))
#s(literal -143/604800 binary64)
#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)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* -11/15120 (* x x)) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -11/15120 x)))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* x (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 -11/15120))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* -143/604800 (* x x)) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (pow x 3) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -143/604800 (pow x 3))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
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)) (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)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.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 (neg.f64 x) (*.f64 (neg.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 (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 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
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#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x))
#s(approx (- (* -143/604800 (* x x)) 11/15120) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))))
#s(approx (- x (sin x)) x)
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (tan x) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64) (/.f64 (cos.f64 x) x))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (neg.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))

eval71.0ms (1.4%)

Memory
-6.0MiB live, 187.9MiB allocated; 21ms collecting garbage
Compiler

Compiled 18 336 to 2 558 computations (86% saved)

prune28.0ms (0.6%)

Memory
29.0MiB live, 76.0MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New62913642
Fresh000
Picked325
Done000
Total63215647
Accuracy
100.0%
Counts
647 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.8%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
83.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x))
82.9%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
99.7%
#s(approx (/ (- x (sin x)) (tan 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)))
99.8%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x))
99.8%
#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))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
51.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
98.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
15.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 x x)))
13.8%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 8 binary64)))))
28.0%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 771 to 503 computations (34.8% saved)

series51.0ms (1%)

Memory
-3.4MiB live, 43.8MiB allocated; 2ms collecting garbage
Counts
37 → 110
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) 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 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (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 (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))
(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))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x)
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))))
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* 1/36 (pow x 2))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))))
#s(approx (* (* 1/6 x) (* 1/6 x)) #s(hole binary64 (* 1/36 (pow x 2))))
#s(approx (* (* (pow x 3) -23/360) (* (pow x 3) -23/360)) #s(hole binary64 (* 529/129600 (pow x 6))))
#s(approx (* (pow x 3) -23/360) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* 1/6 x)))
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* x (+ 1/6 (* 23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -11/15120 (pow x 3))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* -529/129600 (pow x 6))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))))
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* 23/360 (pow x 3))))
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* (pow x 3) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
37.0ms
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) -11/15120) -23/360) (* x x) x -11/15120 -23/360 (* 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (/ (- x (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) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (/ (- x (sin x)) (tan x)) (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360)) (* (pow x 3) -23/360) (pow x 3) 3 (- (* 1/6 x) (* (pow x 3) -23/360)))
6.0ms
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) -11/15120) -23/360) (* x x) x -11/15120 -23/360 (* 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (/ (- x (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) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (/ (- x (sin x)) (tan x)) (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360)) (* (pow x 3) -23/360) (pow x 3) 3 (- (* 1/6 x) (* (pow x 3) -23/360)))
6.0ms
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) -11/15120) -23/360) (* x x) x -11/15120 -23/360 (* 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (/ (- x (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) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (/ (- x (sin x)) (tan x)) (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360)) (* (pow x 3) -23/360) (pow x 3) 3 (- (* 1/6 x) (* (pow x 3) -23/360)))

rewrite260.0ms (5.3%)

Memory
1.4MiB live, 379.1MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02903013
03382672
110672531
074102449
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
147 → 867
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) 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 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (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 (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))
(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))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x)
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))))
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* 1/36 (pow x 2))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))))
#s(approx (* (* 1/6 x) (* 1/6 x)) #s(hole binary64 (* 1/36 (pow x 2))))
#s(approx (* (* (pow x 3) -23/360) (* (pow x 3) -23/360)) #s(hole binary64 (* 529/129600 (pow x 6))))
#s(approx (* (pow x 3) -23/360) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* 1/6 x)))
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* x (+ 1/6 (* 23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -11/15120 (pow x 3))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* -529/129600 (pow x 6))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) #s(hole binary64 (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))))
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* 23/360 (pow x 3))))
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) #s(hole binary64 (* (pow x 3) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (- (* 1/6 x) (* (pow x 3) -23/360))) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (*.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 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(/.f64 (*.f64 (-.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)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 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 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) x) (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.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)))
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#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))
#s(approx (+ (* (* x x) -11/15120) -23/360) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
#s(approx (+ (* (* x x) -11/15120) -23/360) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))))
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (*.f64 #s(literal -23/360 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(literal -23/360 binary64))
#s(approx (+ (* (pow x -2) 1/6) -23/360) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -529/129600 binary64)))
#s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 23/360 binary64)))
#s(approx (- (* 1/6 x) (* (pow x 3) -23/360)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64))))

eval170.0ms (3.4%)

Memory
3.8MiB live, 247.9MiB allocated; 36ms collecting garbage
Compiler

Compiled 34 970 to 4 336 computations (87.6% saved)

prune35.0ms (0.7%)

Memory
9.1MiB live, 99.7MiB allocated; 8ms collecting garbage
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New1 00651 011
Fresh358
Picked235
Done022
Total1 011151 026
Accuracy
100.0%
Counts
1 026 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.8%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
82.9%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
99.7%
#s(approx (/ (- x (sin x)) (tan 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)))
99.8%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))) x))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x))
99.8%
#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))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
51.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
51.2%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
98.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
28.0%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 630 to 421 computations (33.2% saved)

series19.0ms (0.4%)

Memory
4.5MiB live, 50.8MiB allocated; 2ms collecting garbage
Counts
40 → 105
Calls
Call 1
Inputs
#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)) 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)) 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))
(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)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
(neg.f64 x)
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -529/129600 binary64)
#s(literal 1/36 binary64)
(fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))
#s(literal 23/360 binary64)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (/ (/ 1 (neg x)) (neg x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (neg x)) #s(hole binary64 (/ -1 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (* x x) (* 1/6 x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* 1/36 (pow x 2))))
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* 1/36 x)))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* x (+ 1/36 (* -529/129600 (pow x 4))))))
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 1/36))
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 (+ 1/36 (* -529/129600 (pow x 4)))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 (+ 1/6 (* 23/360 (pow x 2)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* -529/129600 (pow x 6))))
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* -529/129600 (pow x 5))))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))))
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 (* -529/129600 (pow x 4))))
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))))
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 (* 23/360 (pow x 2))))
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@0
((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 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 (neg x)) (neg x)) 1/6) -23/360) x) x) (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) 1 (neg x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* x x) (* 1/6 x)) (* 1/6 x) (tan x) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (* (+ (* (pow x 4) -529/129600) 1/36) x) (+ (* (pow x 4) -529/129600) 1/36) (pow x 4) 4 -529/129600 1/36 (+ (* (* x x) 23/360) 1/6) 23/360)
5.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 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 (neg x)) (neg x)) 1/6) -23/360) x) x) (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) 1 (neg x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* x x) (* 1/6 x)) (* 1/6 x) (tan x) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (* (+ (* (pow x 4) -529/129600) 1/36) x) (+ (* (pow x 4) -529/129600) 1/36) (pow x 4) 4 -529/129600 1/36 (+ (* (* x x) 23/360) 1/6) 23/360)
4.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 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 (neg x)) (neg x)) 1/6) -23/360) x) x) (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) 1 (neg x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* x x) (* 1/6 x)) (* 1/6 x) (tan x) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (* (+ (* (pow x 4) -529/129600) 1/36) x) (+ (* (pow x 4) -529/129600) 1/36) (pow x 4) 4 -529/129600 1/36 (+ (* (* x x) 23/360) 1/6) 23/360)

rewrite234.0ms (4.7%)

Memory
-28.9MiB live, 303.7MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03312324
03822131
113512099
087572075
Stop Event
iter-limit
node-limit
iter-limit
Counts
145 → 618
Calls
Call 1
Inputs
#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)) 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)) 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))
(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)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
(neg.f64 x)
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -529/129600 binary64)
#s(literal 1/36 binary64)
(fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))
#s(literal 23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (/ (/ 1 (neg x)) (neg x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (neg x)) #s(hole binary64 (/ -1 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (* x x) (* 1/6 x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* 1/36 (pow x 2))))
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* 1/36 x)))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* x (+ 1/36 (* -529/129600 (pow x 4))))))
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 1/36))
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 (+ 1/36 (* -529/129600 (pow x 4)))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 (+ 1/6 (* 23/360 (pow x 2)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* -529/129600 (pow x 6))))
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) #s(hole binary64 (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* -529/129600 (pow x 5))))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))))
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 (* -529/129600 (pow x 4))))
#s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(hole binary64 (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))))
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 (* 23/360 (pow x 2))))
#s(approx (+ (* (* x x) 23/360) 1/6) #s(hole binary64 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) #s(hole binary64 (* -1 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))))))
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)) (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)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.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 (neg.f64 x) (*.f64 (neg.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 (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 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
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#s(approx (+ (* (* x x) -23/360) 1/6) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))))
#s(approx (+ (* (* x x) -23/360) 1/6) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
#s(approx (+ (* (* x x) -23/360) 1/6) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (*.f64 x x)))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) (*.f64 #s(literal -23/360 binary64) x))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) #s(literal -23/360 binary64))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))
#s(approx (- x (sin x)) x)
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (tan x) (tan.f64 x))
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (/ (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (+ (* (* x x) 23/360) 1/6)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))))
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -529/129600 binary64)))
#s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -529/129600 binary64))))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -529/129600 binary64)))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (pow x 4) -529/129600) 1/36) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64)))
#s(approx (+ (* (pow x 4) -529/129600) 1/36) (*.f64 (fma.f64 (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(approx (+ (* (* x x) 23/360) 1/6) (*.f64 (*.f64 x x) #s(literal 23/360 binary64)))
#s(approx (+ (* (* x x) 23/360) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 23/360 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (neg.f64 x)))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (neg.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/6) -23/360) x) (*.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (neg.f64 x)))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (* (+ (* (pow x 4) -529/129600) 1/36) x) (*.f64 (neg.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64)))) (pow.f64 x #s(literal 5 binary64))))

eval86.0ms (1.7%)

Memory
6.5MiB live, 206.3MiB allocated; 22ms collecting garbage
Compiler

Compiled 21 754 to 3 259 computations (85% saved)

prune29.0ms (0.6%)

Memory
-25.7MiB live, 76.5MiB allocated; 7ms collecting garbage
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New7585763
Fresh415
Picked325
Done055
Total76513778
Accuracy
100.0%
Counts
778 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.8%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 #s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
99.7%
#s(approx (/ (- x (sin x)) (tan 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)))
99.8%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
99.8%
#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))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
51.2%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
98.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))))
Compiler

Compiled 1 069 to 405 computations (62.1% saved)

regimes14.0ms (0.3%)

Memory
32.2MiB live, 32.2MiB allocated; 0ms collecting garbage
Counts
29 → 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 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x))
#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))
#s(approx (/ (- x (sin x)) (tan 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)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 #s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (- (* (* 1/6 x) (* 1/6 x)) (* (* (pow x 3) -23/360) (* (pow x 3) -23/360))) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 x x)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
Calls

2 calls:

7.0ms
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)

regimes6.0ms (0.1%)

Memory
-32.2MiB live, 15.1MiB allocated; 2ms collecting garbage
Counts
10 → 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 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x))
#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))
#s(approx (/ (- x (sin x)) (tan 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)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* (+ (* (pow x 4) -529/129600) 1/36) x) x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 #s(approx (+ (* (pow x 4) -529/129600) 1/36) #s(literal 1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
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))
Calls

2 calls:

4.0ms
x
2.0ms
(/.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)

regimes3.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.5%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

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

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

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

Compiled 8 to 6 computations (25% saved)

derivations141.0ms (2.9%)

Memory
8.2MiB live, 199.9MiB allocated; 5ms collecting garbage
Stop Event
fuel
Compiler

Compiled 106 to 37 computations (65.1% saved)

preprocess30.0ms (0.6%)

Memory
-33.7MiB live, 60.0MiB allocated; 5ms collecting garbage
Remove

(abs x)

Compiler

Compiled 448 to 228 computations (49.1% saved)

end0.0ms (0%)

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

Profiling

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