ENA, Section 1.4, Exercise 4a

Time bar (total: 5.9s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
2.2MiB live, 2.2MiB 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)

sample3.6s (61.2%)

Memory
57.2MiB live, 3 610.1MiB allocated; 1.4s collecting garbage
Samples
2.8s5 825×2valid
308.0ms2 363×1valid
5.0ms68×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-sin: 1.9s (68.7% of total)
adjust: 592.0ms (21.2% of total)
ival-div!: 140.0ms (5% of total)
ival-tan: 75.0ms (2.7% of total)
ival-sub!: 67.0ms (2.4% of total)
Bogosity

explain701.0ms (11.9%)

Memory
1.3MiB live, 371.9MiB allocated; 121ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
820-0-(-.f64 x (sin.f64 x))
500-8(4.214432983473504e-107)(/.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))cancellation820
/.f64(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))u/n420
(-.f64 x (sin.f64 x))underflow174
Confusion
Predicted +Predicted -
+1240
-0132
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12400
-00132
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0132
1124
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
625.0ms386×2valid
33.0ms124×1valid
0.0ms0valid
Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 638.0ms
ival-sin: 539.0ms (84.5% of total)
adjust: 37.0ms (5.8% of total)
ival-div!: 33.0ms (5.2% of total)
ival-tan: 23.0ms (3.6% of total)
ival-sub!: 4.0ms (0.6% of total)

preprocess64.0ms (1.1%)

Memory
-20.4MiB live, 26.3MiB allocated; 5ms 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
56.0%
(/.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
9.7MiB live, 9.7MiB 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))

rewrite186.0ms (3.2%)

Memory
27.8MiB live, 260.0MiB allocated; 28ms 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
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 827 to 222 computations (73.2% saved)

prune4.0ms (0.1%)

Memory
-39.9MiB live, 7.2MiB allocated; 2ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New46450
Fresh000
Picked101
Done000
Total47451
Accuracy
99.9%
Counts
51 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.7%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 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))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 68 to 46 computations (32.4% saved)

series12.0ms (0.2%)

Memory
27.6MiB live, 27.6MiB allocated; 0ms collecting garbage
Counts
24 → 61
Calls
Call 1
Inputs
#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))
(*.f64 x 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 (*.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)
#s(literal 23/360 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 (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* -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 (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* -11/15120 (* x x)) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- x (sin x)) #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 (* (* (+ (* -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 (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #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 (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* 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)) (* (* (+ (* (- (* -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 23/360 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))
4.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* 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)) (* (* (+ (* (- (* -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 23/360 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))
2.0ms
x
@0
((/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* 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)) (* (* (+ (* (- (* -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 23/360 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))

rewrite212.0ms (3.6%)

Memory
-5.8MiB live, 227.1MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02241343
02521293
19981285
078291228
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
85 → 352
Calls
Call 1
Inputs
#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))
(*.f64 x 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 (*.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)
#s(literal 23/360 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 (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* -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 (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* -11/15120 (* x x)) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- x (sin x)) #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 (* (* (+ (* -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 (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #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 (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x))
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#s(approx (- (* -11/15120 (* x x)) 23/360) #s(literal -23/360 binary64))
#s(approx (- (* -11/15120 (* x x)) 23/360) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
#s(approx (* -11/15120 (* x x)) (*.f64 (*.f64 #s(literal -11/15120 binary64) 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 (fma.f64 (*.f64 #s(literal 1/5040 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/362880 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (pow x 3) 1/6) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#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 (* (* (+ (* -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 (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))))
#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 (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 (+ (* -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 (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (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 (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (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 (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (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 (- (* -11/15120 (* x x)) 23/360) (*.f64 (*.f64 #s(literal -11/15120 binary64) x) x))
#s(approx (- (* -11/15120 (* x x)) 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 (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 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))

eval87.0ms (1.5%)

Memory
-13.6MiB live, 91.7MiB allocated; 40ms collecting garbage
Compiler

Compiled 10 057 to 1 594 computations (84.2% saved)

prune12.0ms (0.2%)

Memory
33.7MiB live, 33.7MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3808388
Fresh000
Picked224
Done000
Total38210392
Accuracy
100.0%
Counts
392 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.6%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (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 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 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))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.3%
#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))
47.3%
#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))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
23.1%
#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 445 to 305 computations (31.5% saved)

series59.0ms (1%)

Memory
-20.3MiB live, 28.7MiB allocated; 3ms collecting garbage
Counts
36 → 99
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 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (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 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#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)))))
#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 (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)))
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 (* (* (+ (* (- (* -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 (* (* (+ (* -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 (/ (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (* (+ (* 529/129600 (pow x 4)) -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 (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) #s(hole binary64 (* -1/36 (pow x 2))))
#s(approx (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))))
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(hole binary64 -1/36))
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(hole binary64 (- (* 529/129600 (pow x 4)) 1/36)))
#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 (- (* -23/360 (pow x 2)) 1/6)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* (pow x 2) (+ 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 (* (* (+ (* (- (* -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 (* (* (+ (* -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 (/ (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (/ (* (+ (* 529/129600 (pow x 4)) -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 (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) #s(hole binary64 (* 529/129600 (pow x 6))))
#s(approx (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) #s(hole binary64 (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(hole binary64 (* 529/129600 (pow x 4))))
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(hole binary64 (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#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 (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#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 (* (+ (* (- (* -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))))))))
Calls

3 calls:

TimeVariablePointExpression
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)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (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)) (/ (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) (+ (* (* x x) -23/360) -1/6)) (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) (+ (* 529/129600 (pow x 4)) -1/36) 529/129600 (pow x 4) 4 -1/36 (+ (* (* x x) -23/360) -1/6) -1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)))
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)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (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)) (/ (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) (+ (* (* x x) -23/360) -1/6)) (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) (+ (* 529/129600 (pow x 4)) -1/36) 529/129600 (pow x 4) 4 -1/36 (+ (* (* x x) -23/360) -1/6) -1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)))
3.0ms
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)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (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)) (/ (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) (+ (* (* x x) -23/360) -1/6)) (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) (+ (* 529/129600 (pow x 4)) -1/36) 529/129600 (pow x 4) 4 -1/36 (+ (* (* x x) -23/360) -1/6) -1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)))

rewrite249.0ms (4.2%)

Memory
31.1MiB live, 296.7MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02662458
02982327
19652276
065222214
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
135 → 566
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 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (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 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#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)))))
#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 (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)))
#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 (* (* (+ (* (- (* -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 (* (* (+ (* -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 (/ (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (* (+ (* 529/129600 (pow x 4)) -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 (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) #s(hole binary64 (* -1/36 (pow x 2))))
#s(approx (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))))
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(hole binary64 -1/36))
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(hole binary64 (- (* 529/129600 (pow x 4)) 1/36)))
#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 (- (* -23/360 (pow x 2)) 1/6)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* (pow x 2) (+ 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 (* (* (+ (* (- (* -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 (* (* (+ (* -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 (/ (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (/ (* (+ (* 529/129600 (pow x 4)) -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 (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) #s(hole binary64 (* 529/129600 (pow x 6))))
#s(approx (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) #s(hole binary64 (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(hole binary64 (* 529/129600 (pow x 4))))
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(hole binary64 (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#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 (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#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 (* (+ (* (- (* -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))))))))
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 (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 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #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 (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 (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 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (*.f64 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)))
(/.f64 (*.f64 (*.f64 x x) (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))) (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 x x) (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))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) 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(literal 1/36 binary64)))
(/.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)) x) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.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 (*.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 (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 (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 (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 (*.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 #s(literal 1 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 #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))))
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#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* 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)) 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 (* (* (+ (* -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 (* (+ (* 529/129600 (pow x 4)) -1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64)))
#s(approx (* (+ (* 529/129600 (pow x 4)) -1/36) (* x 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 6 binary64))))
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)))
#s(approx (+ (* 529/129600 (pow x 4)) -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 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 23/360 binary64))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) (*.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 (/ (- 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)) 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)) 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 (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 (* (+ (* (pow x -2) 1/6) -23/360) x) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64) #s(literal 23/360 binary64))))

eval102.0ms (1.7%)

Memory
-5.1MiB live, 141.1MiB allocated; 36ms collecting garbage
Compiler

Compiled 20 889 to 2 913 computations (86.1% saved)

prune17.0ms (0.3%)

Memory
3.4MiB live, 49.6MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New6426648
Fresh123
Picked325
Done022
Total64612658
Accuracy
100.0%
Counts
658 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.6%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x (/.f64 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 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 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))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.3%
#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))
47.3%
#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))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
46.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 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))))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
23.1%
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))))
Compiler

Compiled 543 to 369 computations (32% saved)

series29.0ms (0.5%)

Memory
-1.1MiB live, 53.7MiB allocated; 11ms collecting garbage
Counts
50 → 114
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) x)
(/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)
(fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))
#s(literal -12167/46656000 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/216 binary64)
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1/36 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x))
(*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 1/6 binary64) 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 (/.f64 #s(literal 1 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#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)) (*.f64 (*.f64 x x) (*.f64 x 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)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 x 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)
(*.f64 (*.f64 x x) (*.f64 x x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
(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)
(*.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) #s(hole binary64 (* 1/216 x)))
#s(approx (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) #s(hole binary64 (* x (+ 1/216 (* -12167/46656000 (pow x 6))))))
#s(approx (+ (* -12167/46656000 (pow x 6)) 1/216) #s(hole binary64 1/216))
#s(approx (+ (* -12167/46656000 (pow x 6)) 1/216) #s(hole binary64 (+ 1/216 (* -12167/46656000 (pow x 6)))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(hole binary64 1/36))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(hole binary64 (+ 1/36 (* 23/2160 (pow x 2)))))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(hole binary64 (+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))))
#s(approx (* (* x x) -23/360) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (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 (- (* -23/360 (pow x 2)) 1/6)))
#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 (/ 1/6 x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#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 (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#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) #s(hole binary64 -1/36))
#s(approx (+ (* (pow x 4) 529/129600) -1/36) #s(hole binary64 (- (* 529/129600 (pow x 4)) 1/36)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* -6 (pow x 2))))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* (pow x 2) (- (* 23/10 (pow x 2)) 6))))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -6 x)))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* x (- (* 23/10 (pow x 2)) 6))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))))
#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 (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) #s(hole binary64 (* -12167/46656000 (pow x 7))))
#s(approx (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) #s(hole binary64 (* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))))
#s(approx (+ (* -12167/46656000 (pow x 6)) 1/216) #s(hole binary64 (* -12167/46656000 (pow x 6))))
#s(approx (+ (* -12167/46656000 (pow x 6)) 1/216) #s(hole binary64 (* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(hole binary64 (* 529/129600 (pow x 4))))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(hole binary64 (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(hole binary64 (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))))
#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 (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 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 (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) #s(hole binary64 (* (pow x 4) (- (* 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 (* (+ (* (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) #s(hole binary64 (* 529/129600 (pow x 4))))
#s(approx (+ (* (pow x 4) 529/129600) -1/36) #s(hole binary64 (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 -360/23))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (- (* 21600/529 (/ 1 (pow x 2))) 360/23)))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4))))))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4))))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (/ -360/23 x)))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) #s(hole binary64 (* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))))
#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 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@0
((/ (- x (sin x)) (tan x)) (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* -12167/46656000 (pow x 6)) 1/216) -12167/46656000 (pow x 6) x 6 1/216 (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) (* (* x x) -23/360) (* x x) -23/360 (+ (* (* x x) -23/360) -1/6) -1/6 1/36 (/ (- 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) (/ 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (* (* x x) (* x 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) (pow x 4) 4 529/129600 -1/36 (* x (/ x (+ (* (* x x) -23/360) -1/6))) (/ x (+ (* (* x x) -23/360) -1/6)))
8.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* -12167/46656000 (pow x 6)) 1/216) -12167/46656000 (pow x 6) x 6 1/216 (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) (* (* x x) -23/360) (* x x) -23/360 (+ (* (* x x) -23/360) -1/6) -1/6 1/36 (/ (- 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) (/ 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (* (* x x) (* x 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) (pow x 4) 4 529/129600 -1/36 (* x (/ x (+ (* (* x x) -23/360) -1/6))) (/ x (+ (* (* x x) -23/360) -1/6)))
6.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* -12167/46656000 (pow x 6)) 1/216) -12167/46656000 (pow x 6) x 6 1/216 (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) (* (* x x) -23/360) (* x x) -23/360 (+ (* (* x x) -23/360) -1/6) -1/6 1/36 (/ (- 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) (/ 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (* (* x x) (* x 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) (pow x 4) 4 529/129600 -1/36 (* x (/ x (+ (* (* x x) -23/360) -1/6))) (/ x (+ (* (* x x) -23/360) -1/6)))

rewrite255.0ms (4.3%)

Memory
-13.0MiB live, 308.9MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03492805
03992635
113802633
085702542
Stop Event
iter-limit
node-limit
iter-limit
Counts
164 → 628
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) x)
(/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)
(fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))
#s(literal -12167/46656000 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/216 binary64)
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1/36 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x))
(*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 1/6 binary64) 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 (/.f64 #s(literal 1 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#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)) (*.f64 (*.f64 x x) (*.f64 x 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)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) (*.f64 x 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)
(*.f64 (*.f64 x x) (*.f64 x x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
(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)
(*.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 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)) #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 (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) #s(hole binary64 (* 1/216 x)))
#s(approx (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) #s(hole binary64 (* x (+ 1/216 (* -12167/46656000 (pow x 6))))))
#s(approx (+ (* -12167/46656000 (pow x 6)) 1/216) #s(hole binary64 1/216))
#s(approx (+ (* -12167/46656000 (pow x 6)) 1/216) #s(hole binary64 (+ 1/216 (* -12167/46656000 (pow x 6)))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(hole binary64 1/36))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(hole binary64 (+ 1/36 (* 23/2160 (pow x 2)))))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(hole binary64 (+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))))
#s(approx (* (* x x) -23/360) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (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 (- (* -23/360 (pow x 2)) 1/6)))
#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 (/ 1/6 x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#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 (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#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) #s(hole binary64 -1/36))
#s(approx (+ (* (pow x 4) 529/129600) -1/36) #s(hole binary64 (- (* 529/129600 (pow x 4)) 1/36)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* -6 (pow x 2))))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* (pow x 2) (- (* 23/10 (pow x 2)) 6))))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -6 x)))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* x (- (* 23/10 (pow x 2)) 6))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))))
#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 (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) #s(hole binary64 (* -12167/46656000 (pow x 7))))
#s(approx (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) #s(hole binary64 (* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))))
#s(approx (+ (* -12167/46656000 (pow x 6)) 1/216) #s(hole binary64 (* -12167/46656000 (pow x 6))))
#s(approx (+ (* -12167/46656000 (pow x 6)) 1/216) #s(hole binary64 (* (pow x 6) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(hole binary64 (* 529/129600 (pow x 4))))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(hole binary64 (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(hole binary64 (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))))
#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 (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 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 (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) #s(hole binary64 (* (pow x 4) (- (* 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 (* (+ (* (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) #s(hole binary64 (* 529/129600 (pow x 4))))
#s(approx (+ (* (pow x 4) 529/129600) -1/36) #s(hole binary64 (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 -360/23))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (- (* 21600/529 (/ 1 (pow x 2))) 360/23)))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4))))))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4))))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (/ -360/23 x)))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) #s(hole binary64 (* -1 (* (pow x 7) (- 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))))
#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 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 #s(literal 23/2160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 #s(literal 23/2160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))) x)
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x) (/.f64 x (fma.f64 (*.f64 #s(literal 23/2160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))))
(*.f64 x (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 #s(literal 23/2160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x) x)) (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 529/129600 binary64) #s(literal 23/2160 binary64)) #s(literal -1/36 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x) x) (fma.f64 (*.f64 #s(literal 23/2160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 23/2160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 529/129600 binary64) #s(literal 23/2160 binary64)) #s(literal -1/36 binary64))))
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#s(approx x x)
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) #s(literal 1/36 binary64))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) (fma.f64 (*.f64 #s(literal 23/2160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))))
#s(approx (* (* x x) -23/360) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (* x x) -23/360) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* (* x x) -23/360) -1/6) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* -23/360 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(literal 1/6 binary64))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
#s(approx (/ 1/6 x) (/.f64 #s(literal 1/6 binary64) x))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(literal 1/6 binary64))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (pow x -2) 1/6) -23/360) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (+ (* (pow x -2) 1/6) -23/360) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (+ (* (pow x 4) 529/129600) -1/36) (* x (/ x (+ (* (* x x) -23/360) -1/6)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (pow x 4) 529/129600) -1/36) (* x (/ x (+ (* (* x x) -23/360) -1/6)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (+ (* (pow x 4) 529/129600) -1/36) #s(literal -1/36 binary64))
#s(approx (+ (* (pow x 4) 529/129600) -1/36) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) (*.f64 #s(literal -6 binary64) (*.f64 x x)))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 23/10 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) (*.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/600 binary64) (*.f64 #s(literal 23/10 binary64) (*.f64 x x))) #s(literal 6 binary64)) x) x))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 12167/36000 binary64) (*.f64 x x)) #s(literal 529/600 binary64)) (*.f64 x x) #s(literal 23/10 binary64)) x) x) #s(literal 6 binary64)) (*.f64 x x)))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) (*.f64 #s(literal -6 binary64) x))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) (*.f64 (-.f64 (*.f64 #s(literal 23/10 binary64) (*.f64 x x)) #s(literal 6 binary64)) x))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/600 binary64) (*.f64 #s(literal 23/10 binary64) (*.f64 x x))) #s(literal 6 binary64)) x))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 12167/36000 binary64) (*.f64 x x)) #s(literal 529/600 binary64)) (*.f64 x x) #s(literal 23/10 binary64)) x) x) #s(literal 6 binary64)) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x))
#s(approx (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) x) (*.f64 (-.f64 (*.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))))
#s(approx (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
#s(approx (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 23/360 binary64))))
#s(approx (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -12167/46656000 binary64)))
#s(approx (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) #s(literal 12167/46656000 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* -12167/46656000 (pow x 6)) 1/216) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64)))
#s(approx (+ (* -12167/46656000 (pow x 6)) 1/216) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) #s(literal 12167/46656000 binary64))))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/2160 binary64) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/2160 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 (neg.f64 x) x) (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 (-.f64 (*.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))))
#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)) (-.f64 (*.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 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 23/360 binary64)) x) x))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (*.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 23/360 binary64)) x))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (*.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.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) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 23/360 binary64)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (* (* x x) (* x x))) (*.f64 (-.f64 (*.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))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(literal -23/360 binary64))
#s(approx (+ (* (pow x -2) 1/6) -23/360) (-.f64 (*.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 (+ (* (* 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 (-.f64 (*.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))))
#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 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) #s(literal -360/23 binary64))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) (-.f64 (*.f64 #s(literal 21600/529 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 360/23 binary64)))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) (-.f64 (-.f64 (*.f64 #s(literal 21600/529 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 360/23 binary64)) (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* x (/ x (+ (* (* x x) -23/360) -1/6))) (fma.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal -6 binary64)) (-.f64 (-.f64 (*.f64 #s(literal 21600/529 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 360/23 binary64)) (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) (/.f64 #s(literal -360/23 binary64) x))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) (/.f64 (-.f64 (*.f64 #s(literal 21600/529 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 360/23 binary64)) x))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 21600/529 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 360/23 binary64)) (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) (/.f64 (fma.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal -6 binary64)) (-.f64 (-.f64 (*.f64 #s(literal 21600/529 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 360/23 binary64)) (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))))) 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 (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (+ (* (* (* x x) -23/360) (+ (* (* x x) -23/360) -1/6)) 1/36)) (*.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 (* (+ (* -12167/46656000 (pow x 6)) 1/216) x) (*.f64 (neg.f64 (-.f64 #s(literal 12167/46656000 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)))) (pow.f64 x #s(literal 7 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 (* (+ (* (pow x -2) 1/6) -23/360) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 23/360 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 23/360 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) (/.f64 (-.f64 #s(literal 360/23 binary64) (*.f64 #s(literal 21600/529 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 x)))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 360/23 binary64)) (*.f64 #s(literal 21600/529 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 x)))
#s(approx (/ x (+ (* (* x x) -23/360) -1/6)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 360/23 binary64)) (fma.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal -6 binary64)) (*.f64 #s(literal 21600/529 binary64) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 x)))

eval83.0ms (1.4%)

Memory
-3.8MiB live, 147.6MiB allocated; 12ms collecting garbage
Compiler

Compiled 23 576 to 3 352 computations (85.8% saved)

prune23.0ms (0.4%)

Memory
-10.8MiB live, 36.4MiB allocated; 1ms collecting garbage
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New6553658
Fresh123
Picked325
Done044
Total65911670
Accuracy
100.0%
Counts
670 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x) x)) (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 529/129600 binary64) #s(literal 23/2160 binary64)) #s(literal -1/36 binary64))))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 #s(approx (+ (* -12167/46656000 (pow x 6)) 1/216) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 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))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.3%
#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))
47.3%
#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))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
46.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 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))))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (+ (* (pow x 4) 529/129600) -1/36) #s(literal -1/36 binary64)) (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))))
Compiler

Compiled 862 to 369 computations (57.2% saved)

regimes11.0ms (0.2%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (+ (* (pow x 4) 529/129600) -1/36) #s(literal -1/36 binary64)) (*.f64 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 (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 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 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 (fma.f64 (-.f64 (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #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 (/.f64 (*.f64 #s(approx (+ (* -12167/46656000 (pow x 6)) 1/216) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
#s(approx (/ (- x (sin x)) (tan x)) #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)) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 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))))
#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 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 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 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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 (neg.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x) x)) (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 529/129600 binary64) #s(literal 23/2160 binary64)) #s(literal -1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 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))
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:

5.0ms
x
4.0ms
(/.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
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 #s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(approx (+ (* (pow x 4) 529/129600) -1/36) #s(literal -1/36 binary64)) (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))))
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
99.7%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.7%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.3%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.3%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
4.3MiB live, 4.3MiB 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
99.3%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.3%1x
Compiler

Compiled 8 to 6 computations (25% saved)

derivations114.0ms (1.9%)

Memory
3.2MiB live, 146.2MiB allocated; 16ms collecting garbage
Stop Event
fuel
Compiler

Compiled 81 to 32 computations (60.5% saved)

preprocess56.0ms (0.9%)

Memory
-40.8MiB live, 56.8MiB allocated; 8ms collecting garbage
Remove

(abs x)

Compiler

Compiled 348 to 188 computations (46% saved)

end0.0ms (0%)

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

Profiling

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