ENA, Section 1.4, Exercise 4a

Time bar (total: 5.7s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
3.0MiB live, 3.0MiB 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)

sample3.2s (56.1%)

Memory
51.4MiB live, 4 509.0MiB allocated; 639ms collecting garbage
Samples
2.5s5 836×2valid
344.0ms2 347×1valid
16.0ms73×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-sin: 2.0s (78.8% of total)
adjust: 278.0ms (11.2% of total)
ival-div!: 131.0ms (5.3% of total)
ival-sub!: 67.0ms (2.7% of total)
ival-tan: 52.0ms (2.1% of total)
Bogosity

explain244.0ms (4.3%)

Memory
-52.3MiB live, 351.5MiB allocated; 76ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
920-0-(-.f64 x (sin.f64 x))
450-3(-1.958088487389887e-104)(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
00-0-(tan.f64 x)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 x (sin.f64 x))cancellation920
/.f64(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))u/n420
(-.f64 x (sin.f64 x))underflow164
Confusion
Predicted +Predicted -
+1340
-0122
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13400
-00122
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0122
1134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
127.0ms352×2valid
27.0ms160×1valid
Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-sin: 98.0ms (72.4% of total)
ival-div!: 16.0ms (11.8% of total)
adjust: 13.0ms (9.6% of total)
ival-sub!: 4.0ms (3% of total)
ival-tan: 4.0ms (3% of total)

preprocess202.0ms (3.5%)

Memory
43.9MiB live, 233.0MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
12823
26222
311122
420822
545322
6110622
7268922
8699622
057
097
1157
2187
3237
4327
5547
61047
72277
86187
918537
1048167
080807
Stop Event
iter-limit
node-limit
iter-limit
node-limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

series23.0ms (0.4%)

Memory
-10.5MiB live, 39.7MiB allocated; 4ms 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
19.0ms
x
@0
((/ (- x (sin x)) (tan x)) (- x (sin x)) x (sin x) (tan x))
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))

rewrite173.0ms (3%)

Memory
-14.8MiB live, 225.8MiB allocated; 22ms 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))

eval6.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 876 to 223 computations (74.5% saved)

prune4.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New52557
Fresh000
Picked101
Done000
Total53558
Accuracy
99.9%
Counts
58 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.9%
(/.f64 #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)))) (tan.f64 x))
85.6%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
99.7%
#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))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 184 to 124 computations (32.6% saved)

series155.0ms (2.7%)

Memory
-15.5MiB live, 31.6MiB allocated; 2ms collecting garbage
Counts
32 → 81
Calls
Call 1
Inputs
#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)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x))
#s(literal -143/604800 binary64)
#s(literal 11/15120 binary64)
#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)
(/.f64 #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)))) (tan.f64 x))
#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))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (* (+ (* -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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -11/15120 x)))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* x (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 -11/15120))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* -143/604800 (* x x)) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (pow x 3) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (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 (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -143/604800 (pow x 3))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* -1/120 (pow x 2))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#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 (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
143.0ms
x
@0
((/ (- 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 x) x 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 23/360 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) -1/120)
6.0ms
x
@inf
((/ (- 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 x) x 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 23/360 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) -1/120)
4.0ms
x
@-inf
((/ (- 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 x) x 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 23/360 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) -1/120)

rewrite214.0ms (3.7%)

Memory
-23.6MiB live, 264.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02771955
03201883
112061872
084251764
Stop Event
iter-limit
node-limit
iter-limit
Counts
113 → 458
Calls
Call 1
Inputs
#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)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x))
#s(literal -143/604800 binary64)
#s(literal 11/15120 binary64)
#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)
(/.f64 #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)))) (tan.f64 x))
#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))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (* (+ (* -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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -11/15120 x)))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* x (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 -11/15120))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* -143/604800 (* x x)) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (pow x 3) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (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 (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -143/604800 (pow x 3))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1/120 (pow x 5))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* -1/120 (pow x 2))))
#s(approx (+ (* -1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#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 (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))))
Outputs
#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))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -23/2160 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 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)) #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)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (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)) #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)) #s(literal -23/360 binary64)))
(fma.f64 (*.f64 #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)) #s(literal -23/360 binary64)) 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)) #s(literal -23/360 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #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)) #s(literal -23/360 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.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)) #s(literal -23/360 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.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)) #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)) #s(literal -23/360 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 3 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)) #s(literal -23/360 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal 23/360 binary64) (*.f64 x x)) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -23/2160 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))))))
(fma.f64 (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 x (*.f64 #s(literal -23/360 binary64) x)) x (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 x #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -23/360 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) x (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -23/360 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal -23/360 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
(fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal 23/360 binary64) (*.f64 x x)) x))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
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#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) (*.f64 (*.f64 #s(literal -143/604800 binary64) x) x))
#s(approx (- (* -143/604800 (* x x)) 11/15120) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))))
#s(approx (- x (sin x)) x)
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (tan x) (tan.f64 x))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))
#s(approx (+ (* -1/120 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) x) 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 (-.f64 #s(literal 23/360 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (*.f64 (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 5 binary64))))

eval513.0ms (9%)

Memory
5.4MiB live, 268.8MiB allocated; 748ms collecting garbage
Compiler

Compiled 16 490 to 2 348 computations (85.8% saved)

prune86.0ms (1.5%)

Memory
-14.7MiB live, 73.8MiB allocated; 22ms collecting garbage
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New5949603
Fresh000
Picked325
Done000
Total59711608
Accuracy
100.0%
Counts
608 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.6%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
85.6%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) (tan.f64 x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (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 (*.f64 (*.f64 x x) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (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 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
50.4%
#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))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
28.8%
#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 451 to 315 computations (30.2% saved)

series14.0ms (0.3%)

Memory
27.6MiB live, 27.6MiB allocated; 0ms collecting garbage
Counts
37 → 77
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) x))
(*.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) x)
(/.f64 (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(*.f64 x (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
x
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.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)) (*.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)
#s(approx (tan 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))
(*.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)) #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 (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) #s(hole binary64 (* -1/36 x)))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) #s(hole binary64 (* x (- (* 529/129600 (pow x 4)) 1/36))))
#s(approx x #s(hole binary64 x))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (- 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 (* (* (+ (* (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 (* (+ (* (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 (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) #s(hole binary64 (* 529/129600 (pow x 5))))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) #s(hole binary64 (* (pow x 5) (- 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 (* (* (+ (* -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 (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (* (* (+ (* (pow x -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 (* (+ (* (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 (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#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
5.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) (* x (+ (* 529/129600 (pow x 4)) -1/36)) x (+ (* 529/129600 (pow x 4)) -1/36) 529/129600 (pow x 4) 4 -1/36 (+ (* (* x x) -23/360) -1/6) (* x x) -23/360 -1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) 1/6 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x) (/ (- 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)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)))
5.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) (* x (+ (* 529/129600 (pow x 4)) -1/36)) x (+ (* 529/129600 (pow x 4)) -1/36) 529/129600 (pow x 4) 4 -1/36 (+ (* (* x x) -23/360) -1/6) (* x x) -23/360 -1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) 1/6 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x) (/ (- 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)) (* (* (+ (* -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 (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) (* x (+ (* 529/129600 (pow x 4)) -1/36)) x (+ (* 529/129600 (pow x 4)) -1/36) 529/129600 (pow x 4) 4 -1/36 (+ (* (* x x) -23/360) -1/6) (* x x) -23/360 -1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) 1/6 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x) (/ (- 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)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)))

rewrite214.0ms (3.8%)

Memory
-43.8MiB live, 213.4MiB allocated; 66ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02591685
02871697
110611554
080821490
Stop Event
iter-limit
node-limit
iter-limit
Counts
114 → 451
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) x))
(*.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) x)
(/.f64 (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(*.f64 x (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
x
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.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)) (*.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)
#s(approx (tan 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))
(*.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)) #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 (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) #s(hole binary64 (* -1/36 x)))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) #s(hole binary64 (* x (- (* 529/129600 (pow x 4)) 1/36))))
#s(approx x #s(hole binary64 x))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (- 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 (* (* (+ (* (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 (* (+ (* (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 (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) #s(hole binary64 (* 529/129600 (pow x 5))))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) #s(hole binary64 (* (pow x 5) (- 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 (* (* (+ (* -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 (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (* (* (+ (* (pow x -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 (* (+ (* (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 (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#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 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 23/2160 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (neg.f64 x)) x) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))) (*.f64 x x)) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -23/2160 binary64) (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (neg.f64 x))) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
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(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))))
#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 (*.f64 x x) #s(literal -23/360 binary64) #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)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) (*.f64 #s(literal -1/36 binary64) x))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x))
#s(approx x x)
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64))
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#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 (* x x) (*.f64 x x))
#s(approx (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) (*.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 (- 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 (fma.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 4 binary64)) (*.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 (* (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 (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(literal 1/6 binary64))
#s(approx (* (* (+ (* (pow x -2) 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 (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) 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 (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) 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 (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* 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 3 binary64))))
#s(approx (* x (+ (* 529/129600 (pow x 4)) -1/36)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64)))
#s(approx (* x (+ (* 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 5 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 (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) 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 (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* 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 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 (-.f64 (*.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)) x)
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (tan x) (tan.f64 x))
#s(approx (* (* (+ (* (pow x -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 (-.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) (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 (-.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 (/ (- 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 (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) (*.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 (* x (+ (* 529/129600 (pow x 4)) -1/36)) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -529/129600 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ (* x (+ (* 529/129600 (pow x 4)) -1/36)) (+ (* (* x x) -23/360) -1/6)) (*.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 (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#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))))

eval69.0ms (1.2%)

Memory
15.2MiB live, 105.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 16 529 to 2 368 computations (85.7% saved)

prune23.0ms (0.4%)

Memory
13.9MiB live, 59.9MiB allocated; 2ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New53311544
Fresh314
Picked325
Done022
Total53916555
Accuracy
100.0%
Counts
555 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.6%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
85.5%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) x))
85.5%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) #s(approx (tan x) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.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 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 x #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64))) (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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
99.7%
#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))
50.3%
#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))
50.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -23/360 binary64)) x) x)) x) x))
50.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
28.7%
#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)))))
28.8%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
28.8%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 731 to 499 computations (31.7% saved)

series18.0ms (0.3%)

Memory
-16.2MiB live, 35.7MiB allocated; 6ms collecting garbage
Counts
42 → 103
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) x))
#s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) x)
#s(approx (tan 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))
(*.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)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.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 (* (* (+ (* (pow x 4) 529/129600) -1/36) x) (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (pow x 4) 529/129600) -1/36) x) (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) #s(hole binary64 (* -1/36 x)))
#s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) #s(hole binary64 (* x (- (* 529/129600 (pow x 4)) 1/36))))
#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 #s(hole binary64 x))
#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 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (* (* x x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (* x x) x) #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 (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (* (+ (* (/ 1 (* 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 (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (* (/ 1 (neg x)) (/ 1 (neg x))) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (neg x)) #s(hole binary64 (/ -1 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- x (sin x)) (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 (* (* (+ (* (pow x 4) 529/129600) -1/36) x) (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* (pow x 4) 529/129600) -1/36) x) (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) #s(hole binary64 (* 529/129600 (pow x 5))))
#s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) #s(hole binary64 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#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) -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 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 (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (- 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 (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (/ 1 (* 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 (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) #s(hole binary64 (- (* 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 (* (+ (* (pow x 4) 529/129600) -1/36) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))))
#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))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (pow x 4) 529/129600) -1/36) x) (/ x (+ (* (* x x) -23/360) -1/6))) (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* (pow x 4) 529/129600) -1/36) (pow x 4) x 4 529/129600 -1/36 (/ x (+ (* (* x x) -23/360) -1/6)) (+ (* (* x x) -23/360) -1/6) (* x x) -23/360 -1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) 1/6 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x) (/ (- 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) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) (* (/ 1 (neg x)) (/ 1 (neg x))) (/ 1 (neg x)) (neg x))
5.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (pow x 4) 529/129600) -1/36) x) (/ x (+ (* (* x x) -23/360) -1/6))) (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* (pow x 4) 529/129600) -1/36) (pow x 4) x 4 529/129600 -1/36 (/ x (+ (* (* x x) -23/360) -1/6)) (+ (* (* x x) -23/360) -1/6) (* x x) -23/360 -1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) 1/6 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x) (/ (- 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) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) (* (/ 1 (neg x)) (/ 1 (neg x))) (/ 1 (neg x)) (neg x))
3.0ms
x
@0
((/ (- x (sin x)) (tan x)) (* (* (+ (* (pow x 4) 529/129600) -1/36) x) (/ x (+ (* (* x x) -23/360) -1/6))) (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* (pow x 4) 529/129600) -1/36) (pow x 4) x 4 529/129600 -1/36 (/ x (+ (* (* x x) -23/360) -1/6)) (+ (* (* x x) -23/360) -1/6) (* x x) -23/360 -1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) 1/6 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x) (/ (- 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) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) (* (/ 1 (neg x)) (/ 1 (neg x))) (/ 1 (neg x)) (neg x))

rewrite198.0ms (3.5%)

Memory
-6.6MiB live, 230.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03532328
03982029
114872024
083322006
Stop Event
iter-limit
node-limit
iter-limit
Counts
145 → 473
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) x))
#s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) x)
#s(approx (tan 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))
(*.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)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)
(*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.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 (* (* (+ (* (pow x 4) 529/129600) -1/36) x) (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (pow x 4) 529/129600) -1/36) x) (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) #s(hole binary64 (* -1/36 x)))
#s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) #s(hole binary64 (* x (- (* 529/129600 (pow x 4)) 1/36))))
#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 #s(hole binary64 x))
#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 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (* (* x x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (* x x) x) #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 (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (* (+ (* (/ 1 (* 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 (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (* (/ 1 (neg x)) (/ 1 (neg x))) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (neg x)) #s(hole binary64 (/ -1 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- x (sin x)) (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 (* (* (+ (* (pow x 4) 529/129600) -1/36) x) (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* (pow x 4) 529/129600) -1/36) x) (/ x (+ (* (* x x) -23/360) -1/6))) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) #s(hole binary64 (* 529/129600 (pow x 5))))
#s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) #s(hole binary64 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#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) -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 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 (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (- 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 (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (/ 1 (* 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 (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) #s(hole binary64 (- (* 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 (* (+ (* (pow x 4) 529/129600) -1/36) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))))
#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))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 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 (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)) x)))
(*.f64 (/.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)) x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(*.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 (neg.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) x)) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) x (*.f64 #s(literal -1/36 binary64) x))
(fma.f64 #s(literal -1/36 binary64) x (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) x))
(fma.f64 #s(literal -1/36 binary64) x (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (*.f64 #s(literal -1/36 binary64) x))
(fma.f64 x #s(literal -1/36 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) x))
(fma.f64 x #s(literal -1/36 binary64) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) x) (*.f64 #s(literal -1/36 binary64) x))
(+.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))) (*.f64 #s(literal -1/36 binary64) x))
(+.f64 (*.f64 #s(literal -1/36 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) x))
(+.f64 (*.f64 #s(literal -1/36 binary64) x) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
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#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 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 (neg x)) (/ 1 (neg x))) 1/6) -23/360) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 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 (* (/ 1 (neg x)) (/ 1 (neg x))) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ 1 (neg x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (neg x) (neg.f64 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 (* (* (+ (* (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) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64)))
#s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) (*.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64))) (pow.f64 x #s(literal 5 binary64))))
#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 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 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 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 77760000/279841 binary64) (*.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) -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 (* (+ (* (* x x) -23/360) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) (*.f64 (-.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 (+ (* (* 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 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 23/360 binary64)) (*.f64 x x)))
#s(approx (- x (sin x)) x)
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (tan x) (tan.f64 x))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) (*.f64 (-.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 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* x x) -23/360) 1/6) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
#s(approx (+ (* (* 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)) (*.f64 x x)))
#s(approx (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 23/360 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) (*.f64 #s(literal -23/360 binary64) x))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 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 (neg x)) (/ 1 (neg x))) 1/6) -23/360) #s(literal -23/360 binary64))
#s(approx (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 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 (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 23/360 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) (*.f64 #s(literal -23/360 binary64) x))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 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 (neg x)) (/ 1 (neg x))) 1/6) -23/360) #s(literal -23/360 binary64))
#s(approx (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 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 (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (neg.f64 x)))
#s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -529/129600 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ 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 (pow.f64 x #s(literal -6 binary64)) #s(literal 77760000/279841 binary64) (*.f64 #s(literal 21600/529 binary64) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 x)))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (neg.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) (*.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (neg.f64 x)))
#s(approx (* (+ (* (* (/ 1 (neg x)) (/ 1 (neg x))) 1/6) -23/360) x) (*.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (neg.f64 x)))

eval84.0ms (1.5%)

Memory
0.2MiB live, 138.5MiB allocated; 46ms collecting garbage
Compiler

Compiled 15 164 to 2 479 computations (83.7% saved)

prune20.0ms (0.3%)

Memory
11.5MiB live, 62.4MiB allocated; 2ms collecting garbage
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New5072509
Fresh167
Picked235
Done134
Total51114525
Accuracy
100.0%
Counts
525 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.5%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) x))
85.5%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) #s(approx (tan x) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.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 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 x #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64))) (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 (fma.f64 #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 #s(approx (+ (* (pow x 4) 529/129600) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
50.3%
#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))
50.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x) #s(literal -23/360 binary64)) x) x)) x) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
28.7%
#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)))))
28.8%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
28.8%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 1 034 to 417 computations (59.7% saved)

regimes15.0ms (0.3%)

Memory
-13.0MiB live, 33.9MiB allocated; 2ms collecting garbage
Counts
28 → 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 (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) #s(approx (tan x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (pow x 4) 529/129600) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 x #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x) #s(literal -23/360 binary64)) x) x)) 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 1/6 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -23/360 binary64)) x) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) (tan.f64 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 #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)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #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(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #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(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.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)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (pow x 4) 529/129600) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
Calls

2 calls:

7.0ms
x
6.0ms
(/.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)

regimes4.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) #s(approx (tan x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.7%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
6.9MiB live, 6.9MiB 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 (+ (* -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 (+ (* -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
99.4%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.4%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.4%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.4%1x
Compiler

Compiled 8 to 6 computations (25% saved)

derivations158.0ms (2.8%)

Memory
-19.1MiB live, 264.8MiB allocated; 17ms collecting garbage
Stop Event
fuel
Compiler

Compiled 80 to 37 computations (53.8% saved)

preprocess68.0ms (1.2%)

Memory
47.2MiB live, 82.3MiB allocated; 18ms collecting garbage
Remove

(abs x)

Compiler

Compiled 344 to 206 computations (40.1% saved)

end0.0ms (0%)

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

Profiling

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