2tan (problem 3.3.2)

Time bar (total: 39.2s)

analyze156.0ms (0.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.6%49.4%0%0%0%0
0%0%50.6%49.4%0%0%0%1
0%0%50.6%49.4%0%0%0%2
0%0%25.3%74.7%0%0%0%3
0%0%25.3%74.7%0%0%0%4
0%0%19%81%0%0%0%5
0%0%15.8%84.2%0%0%0%6
0%0%11.1%88.9%0%0%0%7
0%0%8.7%91.3%0%0%0%8
0%0%5.9%94.1%0%0%0%9
0%0%4.5%95.5%0%0%0%10
0%0%3.1%96.9%0%0%0%11
0%0%2.7%97.3%0%0%0%12
Compiler

Compiled 28 to 18 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-tan: 17.0ms (25% of total)
...c/correct-round.rkt:119:19: 11.0ms (16.1% of total)
ival-<=: 8.0ms (11.7% of total)
ival-<: 7.0ms (10.3% of total)
ival-mult: 6.0ms (8.8% of total)
ival-fabs: 5.0ms (7.3% of total)
ival-add: 4.0ms (5.9% of total)
ival-sub: 4.0ms (5.9% of total)
ival-and: 4.0ms (5.9% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

sample14.0s (35.7%)

Results
7.1s26153×0precondition
2.5s4457×1valid
1.0s3799×0valid
Precisions
Click to see histograms. Total time spent on operations: 8.2s
ival-tan: 1.5s (18.2% of total)
...c/correct-round.rkt:119:19: 1.4s (16.7% of total)
ival-sub: 1.1s (13.7% of total)
ival-<: 827.0ms (10% of total)
ival-mult: 777.0ms (9.4% of total)
ival-<=: 760.0ms (9.2% of total)
ival-add: 685.0ms (8.3% of total)
ival-fabs: 539.0ms (6.5% of total)
ival-and: 350.0ms (4.3% of total)
backward-pass: 206.0ms (2.5% of total)
const: 86.0ms (1% of total)
Bogosity

preprocess102.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
376×fnmadd-define
344×fnmsub-define
344×fmsub-define
320×sum3-define
308×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02146
14342
29442
319842
450742
591742
6128542
7154842
8168442
9171142
067
197
2147
3217
4317
5637
61227
72107
82957
94017
104797
114857
04857
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (tan (+ x eps)) (tan x))
Outputs
(- (tan (+ x eps)) (tan x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Call 2
Inputs
(- (tan (+ x eps)) (tan x))
(- (tan (+ (neg x) eps)) (tan (neg x)))
(- (tan (+ x (neg eps))) (tan x))
(neg (- (tan (+ (neg x) eps)) (tan (neg x))))
(neg (- (tan (+ x (neg eps))) (tan x)))
(- (tan (+ eps x)) (tan eps))
Outputs
(- (tan (+ x eps)) (tan x))
(- (tan (+ (neg x) eps)) (tan (neg x)))
(+ (tan x) (tan (- eps x)))
(- (tan (+ x (neg eps))) (tan x))
(- (tan (- x eps)) (tan x))
(neg (- (tan (+ (neg x) eps)) (tan (neg x))))
(- (tan (- x eps)) (tan x))
(neg (- (tan (+ x (neg eps))) (tan x)))
(+ (tan x) (tan (- eps x)))
(- (tan (+ eps x)) (tan eps))
(- (tan (+ x eps)) (tan eps))

explain200.0ms (0.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2332(3.545075840185958e-212 3.58034235077827e-214)5(-1.9515661030450103e-285 2.7409289292662795e-287)(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
20-2(16.539746644044385 5.7597189192909716e-8)(tan.f64 (+.f64 x eps))
00-0-x
00-0-(+.f64 x eps)
00-0-(tan.f64 x)
00-0-eps
Results
94.0ms282×1valid
35.0ms224×0valid
5.0ms6×3valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-tan: 27.0ms (45.2% of total)
ival-add: 13.0ms (21.8% of total)
backward-pass: 10.0ms (16.7% of total)
ival-sub: 9.0ms (15.1% of total)
const: 1.0ms (1.7% of total)

eval1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶60.4%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify41.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(tan.f64 x)
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Rules
124×fnmadd-define
122×sum3-define
80×fma-lowering-fma.f32
80×fnmsub-define
80×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
1918
21418
32118
43118
56318
612218
721018
829518
940118
1047918
1148518
048518
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (tan (+ x eps)) (tan x))
(tan (+ x eps))
(+ x eps)
x
eps
(tan x)
Outputs
(- (tan (+ x eps)) (tan x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan (+ x eps))
(tan.f64 (+.f64 x eps))
(+ x eps)
(+.f64 x eps)
x
eps
(tan x)
(tan.f64 x)

localize83.0ms (0.2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(tan.f64 x)
✓accuracy99.9%
(tan.f64 (+.f64 x eps))
✓accuracy60.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
45.0ms141×1valid
16.0ms112×0valid
3.0ms3×3valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-tan: 14.0ms (48.3% of total)
ival-add: 5.0ms (17.2% of total)
backward-pass: 5.0ms (17.2% of total)
ival-sub: 5.0ms (17.2% of total)
const: 0.0ms (0% of total)

series36.0ms (0.1%)

Counts
4 → 84
Calls
Call 1
Inputs
#<alt (- (tan (+ x eps)) (tan x))>
#<alt (tan (+ x eps))>
#<alt (+ x eps)>
#<alt (tan x)>
Outputs
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin x) (cos x))>
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
Calls

21 calls:

TimeVariablePointExpression
12.0ms
eps
@0
(- (tan (+ x eps)) (tan x))
5.0ms
eps
@inf
(- (tan (+ x eps)) (tan x))
4.0ms
x
@inf
(- (tan (+ x eps)) (tan x))
3.0ms
x
@-inf
(- (tan (+ x eps)) (tan x))
3.0ms
x
@0
(- (tan (+ x eps)) (tan x))

rewrite835.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
3856×*-lowering-*.f32
3856×*-lowering-*.f64
3276×/-lowering-/.f32
3276×/-lowering-/.f64
1940×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
14616
241916
3655516
0850716
Stop Event
1×iter limit
1×node limit
Counts
4 → 239
Calls
Call 1
Inputs
(- (tan (+ x eps)) (tan x))
(tan (+ x eps))
(+ x eps)
(tan x)
Outputs
(+.f64 (tan.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (tan.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(+.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))
(+.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) #s(literal 0 binary64)) (tan.f64 x))
(fma.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(fma.f64 (tan.f64 (+.f64 x eps)) (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 x x) (*.f64 eps eps)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (+.f64 (*.f64 x x) (*.f64 eps eps)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64))
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 #s(literal 0 binary64) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (-.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps eps))) (+.f64 x eps))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps))))
(tan.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

simplify657.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
3412×*-lowering-*.f32
3412×*-lowering-*.f64
2990×fma-lowering-fma.f32
2990×fma-lowering-fma.f64
2652×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571381
14941286
218911261
377211261
085671261
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
Outputs
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (-.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 eps (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (cos.f64 x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/3 binary64)))))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (*.f64 x (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(* x (+ 1 (/ eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(* x (+ 1 (/ eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(* eps (+ 1 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(* eps (+ 1 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval189.0ms (0.5%)

Compiler

Compiled 8812 to 983 computations (88.8% saved)

prune187.0ms (0.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New30617323
Fresh000
Picked011
Done000
Total30618324
Accuracy
100.0%
Counts
324 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.7%
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
60.5%
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
▶60.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
▶10.0%
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
19.8%
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
10.1%
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 2 binary64)))))
▶98.2%
(/.f64 (sin.f64 eps) (cos.f64 eps))
60.5%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
60.4%
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
59.9%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
59.8%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
59.7%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))))
✓60.4%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶59.2%
(-.f64 (tan.f64 (+.f64 x eps)) x)
100.0%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
99.4%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
99.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
▶100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (-.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 eps (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (cos.f64 x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/3 binary64)))))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Compiler

Compiled 1275 to 544 computations (57.3% saved)

simplify668.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 6 binary64))
✓cost-diff0
(-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))
✓cost-diff0
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
✓cost-diff0
(*.f64 (tan.f64 x) (tan.f64 eps))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
✓cost-diff6528
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
✓cost-diff0
(cos.f64 eps)
✓cost-diff0
(sin.f64 eps)
✓cost-diff0
(/.f64 (sin.f64 eps) (cos.f64 eps))
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (tan.f64 (+.f64 x eps)) x)
✓cost-diff143744
(*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (-.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 eps (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (cos.f64 x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/3 binary64))))))))
✓cost-diff156416
(+.f64 (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (-.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 eps (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (cos.f64 x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/3 binary64)))))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓cost-diff163008
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (-.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 eps (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (cos.f64 x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/3 binary64)))))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓cost-diff163008
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (-.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 eps (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (cos.f64 x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/3 binary64)))))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Rules
3194×*-lowering-*.f32
3194×*-lowering-*.f64
2606×+-lowering-+.f64
2606×+-lowering-+.f32
2378×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0681849
12101562
27791254
335841141
083701141
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* eps (+ 1 (+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
eps
(+ 1 (+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3)))))))
(+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))
(* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (sin x) (cos x))
(sin x)
x
(cos x)
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
2
(pow (cos x) 2)
(* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3)))))
(- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))
(- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
-1/6
(+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
-1/2
(+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))
(* -1/2 (pow (sin x) 2))
(- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))
(* 1/6 (pow (sin x) 2))
1/6
(* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3)))
(+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))
(/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x))
(* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3)
-1/3
(- (tan (+ x eps)) x)
(tan (+ x eps))
(+ x eps)
x
eps
(/ (sin eps) (cos eps))
(sin eps)
eps
(cos eps)
(+ (* (/ 1 (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps))) (- 0 (tan x)))
(/ 1 (- 1 (* (tan x) (tan eps))))
1
(- 1 (* (tan x) (tan eps)))
(* (tan x) (tan eps))
(tan x)
x
(tan eps)
eps
(+ (tan x) (tan eps))
(- 0 (tan x))
0
(/ (- (pow (tan (+ x eps)) 6) (pow (tan x) 6)) (* (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))) (+ (pow (tan (+ x eps)) 3) (pow (tan x) 3))))
(- (pow (tan (+ x eps)) 6) (pow (tan x) 6))
(pow (tan (+ x eps)) 6)
(tan (+ x eps))
(+ x eps)
x
eps
6
(pow (tan x) 6)
(tan x)
(* (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))) (+ (pow (tan (+ x eps)) 3) (pow (tan x) 3)))
(+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x))))
(pow (tan (+ x eps)) 2)
2
(* (tan x) (+ (tan (+ x eps)) (tan x)))
(+ (tan (+ x eps)) (tan x))
(+ (pow (tan (+ x eps)) 3) (pow (tan x) 3))
(pow (tan (+ x eps)) 3)
3
(pow (tan x) 3)
Outputs
(* eps (+ 1 (+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))) (*.f64 eps eps)) (*.f64 (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
eps
(+ 1 (+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (*.f64 (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))) (*.f64 eps eps)) (*.f64 (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 (*.f64 (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))) (*.f64 eps eps)) (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))
(* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3)))))))
(*.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))))))
(+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))
(+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))))))))
(* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin x)
(sin.f64 x)
x
(cos x)
(cos.f64 x)
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3)))))
(*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))))
(- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))
(-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))))))
(- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64)))
-1/6
#s(literal -1/6 binary64)
(+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))))
-1/2
#s(literal -1/2 binary64)
(+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64)))
(/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1/2 (pow (sin x) 2))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -5/6 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64)))
(/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* 1/6 (pow (sin x) 2))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64)))
(* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3)))
(*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))
(+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))))
(/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) #s(literal -1/3 binary64)))
(* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(*.f64 (sin.f64 x) (+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) #s(literal -1/3 binary64)))
(+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))) #s(literal -1/3 binary64))
(* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3)
(*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (tan (+ x eps)) x)
(-.f64 (tan.f64 (+.f64 eps x)) x)
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin eps)
(sin.f64 eps)
eps
(cos eps)
(cos.f64 eps)
(+ (* (/ 1 (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps))) (- 0 (tan x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/ 1 (- 1 (* (tan x) (tan eps))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
1
#s(literal 1 binary64)
(- 1 (* (tan x) (tan eps)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(* (tan x) (tan eps))
(*.f64 (tan.f64 x) (tan.f64 eps))
(tan x)
(tan.f64 x)
x
(tan eps)
(tan.f64 eps)
eps
(+ (tan x) (tan eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(- 0 (tan x))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
0
#s(literal 0 binary64)
(/ (- (pow (tan (+ x eps)) 6) (pow (tan x) 6)) (* (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))) (+ (pow (tan (+ x eps)) 3) (pow (tan x) 3))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(- (pow (tan (+ x eps)) 6) (pow (tan x) 6))
(-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))
(pow (tan (+ x eps)) 6)
(pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 6 binary64))
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
6
#s(literal 6 binary64)
(pow (tan x) 6)
(pow.f64 (tan.f64 x) #s(literal 6 binary64))
(tan x)
(tan.f64 x)
(* (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))) (+ (pow (tan (+ x eps)) 3) (pow (tan x) 3)))
(*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x))))
(+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(pow (tan (+ x eps)) 2)
(pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (tan x) (+ (tan (+ x eps)) (tan x)))
(*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+ (tan (+ x eps)) (tan x))
(+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+ (pow (tan (+ x eps)) 3) (pow (tan x) 3))
(+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(pow (tan (+ x eps)) 3)
(pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (tan x) 3)
(pow.f64 (tan.f64 x) #s(literal 3 binary64))

localize2.2s (5.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))
✓accuracy99.8%
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
✓accuracy99.0%
(-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))
✓accuracy62.7%
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
✓accuracy100.0%
(*.f64 (tan.f64 x) (tan.f64 eps))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
✓accuracy100.0%
(+.f64 (tan.f64 x) (tan.f64 eps))
✓accuracy92.4%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
✓accuracy100.0%
(sin.f64 eps)
✓accuracy100.0%
(cos.f64 eps)
✓accuracy100.0%
(/.f64 (sin.f64 eps) (cos.f64 eps))
✓accuracy100.0%
(+.f64 x eps)
✓accuracy99.9%
(tan.f64 (+.f64 x eps))
✓accuracy92.6%
(-.f64 (tan.f64 (+.f64 x eps)) x)
✓accuracy99.8%
(*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
✓accuracy99.7%
(*.f64 eps (-.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 eps (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (cos.f64 x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/3 binary64))))))
✓accuracy99.3%
(-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
✓accuracy99.3%
(+.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
Results
1.3s139×5exit
243.0ms102×0valid
103.0ms4×3valid
29.0ms7×1valid
26.0ms4×2valid
Compiler

Compiled 1904 to 68 computations (96.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 916.0ms
backward-pass: 337.0ms (36.8% of total)
ival-pow: 193.0ms (21.1% of total)
ival-mult: 98.0ms (10.7% of total)
ival-div: 73.0ms (8% of total)
ival-add: 67.0ms (7.3% of total)
ival-sub: 36.0ms (3.9% of total)
...c/correct-round.rkt:119:19: 33.0ms (3.6% of total)
ival-tan: 31.0ms (3.4% of total)
compiled-spec: 16.0ms (1.7% of total)
ival-cos: 14.0ms (1.5% of total)
ival-sin: 14.0ms (1.5% of total)
const: 4.0ms (0.4% of total)

series530.0ms (1.4%)

Counts
24 → 504
Calls
Call 1
Inputs
#<alt (* eps (+ 1 (+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ 1 (+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3)))))))>
#<alt (- (tan (+ x eps)) x)>
#<alt (tan (+ x eps))>
#<alt (+ x eps)>
#<alt (/ (sin eps) (cos eps))>
#<alt (sin eps)>
#<alt (cos eps)>
#<alt (+ (* (/ 1 (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps))) (- 0 (tan x)))>
#<alt (/ 1 (- 1 (* (tan x) (tan eps))))>
#<alt (- 1 (* (tan x) (tan eps)))>
#<alt (* (tan x) (tan eps))>
#<alt (/ (- (pow (tan (+ x eps)) 6) (pow (tan x) 6)) (* (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))) (+ (pow (tan (+ x eps)) 3) (pow (tan x) 3))))>
#<alt (- (pow (tan (+ x eps)) 6) (pow (tan x) 6))>
#<alt (pow (tan (+ x eps)) 6)>
#<alt (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))>
#<alt (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))>
#<alt (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3)))))>
#<alt (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))))>
#<alt (+ (tan x) (tan eps))>
#<alt (pow (tan (+ x eps)) 3)>
#<alt (pow (tan (+ x eps)) 2)>
Outputs
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (* (pow eps 4) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))>
#<alt (* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
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#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))>
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#<alt (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))>
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#<alt (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))>
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#<alt (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (+ (* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))>
#<alt (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))>
#<alt (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))>
#<alt (/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))>
#<alt (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))>
#<alt (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))>
#<alt (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))>
#<alt (/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))>
Calls

126 calls:

TimeVariablePointExpression
60.0ms
x
@0
(/ 1 (- 1 (* (tan x) (tan eps))))
54.0ms
eps
@0
(/ (- (pow (tan (+ x eps)) 6) (pow (tan x) 6)) (* (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))) (+ (pow (tan (+ x eps)) 3) (pow (tan x) 3))))
35.0ms
x
@-inf
(* eps (+ 1 (+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
30.0ms
x
@0
(/ (- (pow (tan (+ x eps)) 6) (pow (tan x) 6)) (* (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))) (+ (pow (tan (+ x eps)) 3) (pow (tan x) 3))))
27.0ms
x
@inf
(* eps (+ 1 (+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))

rewrite869.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
3970×*-lowering-*.f32
3970×*-lowering-*.f64
2834×/-lowering-/.f32
2834×/-lowering-/.f64
1716×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068958
1537489
26863489
08470489
Stop Event
1×iter limit
1×node limit
Counts
24 → 538
Calls
Call 1
Inputs
(* eps (+ 1 (+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ 1 (+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ (* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3)))))))
(- (tan (+ x eps)) x)
(tan (+ x eps))
(+ x eps)
(/ (sin eps) (cos eps))
(sin eps)
(cos eps)
(+ (* (/ 1 (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps))) (- 0 (tan x)))
(/ 1 (- 1 (* (tan x) (tan eps))))
(- 1 (* (tan x) (tan eps)))
(* (tan x) (tan eps))
(/ (- (pow (tan (+ x eps)) 6) (pow (tan x) 6)) (* (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))) (+ (pow (tan (+ x eps)) 3) (pow (tan x) 3))))
(- (pow (tan (+ x eps)) 6) (pow (tan x) 6))
(pow (tan (+ x eps)) 6)
(+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* eps (- (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (/ (* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x)) (* (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) -1/3)))))
(* (sin x) (+ 1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(+ (tan x) (tan eps))
(pow (tan (+ x eps)) 3)
(pow (tan (+ x eps)) 2)
Outputs
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps)
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))) eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))))
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(/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 (+.f64 eps x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (tan.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 (+.f64 eps x))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 (+.f64 eps x))))
(*.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 eps x)))) (exp.f64 (log.f64 (tan.f64 (+.f64 eps x)))))
(*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (*.f64 (tan.f64 (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (*.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))

simplify1.5s (3.8%)

Algorithm
1×egg-herbie
Rules
5886×+-lowering-+.f64
5886×+-lowering-+.f32
4698×*-lowering-*.f32
4698×*-lowering-*.f64
1306×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109433694
1416532306
0894332306
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (* (pow eps 4) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow eps 2) (cos x))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* (pow eps 4) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 4) (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))))) eps))))
(* (pow eps 4) (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps))) eps))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (* (pow eps 3) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (+ (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))
(* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow eps 2) (cos x))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (+ (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))
(* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (+ (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))
(* -1 (* (pow eps 3) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
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(/ (pow (sin x) 2) (pow (cos x) 2))
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(* 1/3 (pow eps 2))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
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(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
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(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
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(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
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eps
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1
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1
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1
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1
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1
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(/ (* x (sin eps)) (cos eps))
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(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
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(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* eps (sin x)) (cos x))
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(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
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(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (sin eps) (cos eps))
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(- (/ (pow (sin (- x (* -1 eps))) 6) (pow (cos (- x (* -1 eps))) 6)) (/ (pow (sin x) 6) (pow (cos x) 6)))
(/ (pow (sin eps) 6) (pow (cos eps) 6))
(+ (* 2 (/ (* x (* (pow (sin eps) 3) (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))))) (pow (cos eps) 3))) (/ (pow (sin eps) 6) (pow (cos eps) 6)))
(+ (* x (+ (* 2 (/ (* (pow (sin eps) 3) (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2)))) (pow (cos eps) 3))) (* x (+ (* 2 (/ (* (pow (sin eps) 3) (+ (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))) (+ (/ (* (sin eps) (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2))) (cos eps)) (/ (* (pow (sin eps) 3) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 3))))) (pow (cos eps) 3))) (pow (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) 2))))) (/ (pow (sin eps) 6) (pow (cos eps) 6)))
(+ (* x (+ (* 2 (/ (* (pow (sin eps) 3) (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2)))) (pow (cos eps) 3))) (* x (+ (* 2 (/ (* (pow (sin eps) 3) (+ (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))) (+ (/ (* (sin eps) (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2))) (cos eps)) (/ (* (pow (sin eps) 3) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 3))))) (pow (cos eps) 3))) (+ (* x (+ (* 2 (* (+ (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))) (+ (/ (* (sin eps) (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2))) (cos eps)) (/ (* (pow (sin eps) 3) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 3)))) (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))))) (* 2 (/ (* (pow (sin eps) 3) (+ (* -1 (/ (* (pow (sin eps) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (pow (cos eps) 2))) (+ (* 2 (/ (* (pow (sin eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (cos eps) 2))) (+ (* (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (* (sin eps) (+ (* -2 (/ (* (sin eps) (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (cos eps))) (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))))) (cos eps)))))) (pow (cos eps) 3))))) (pow (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) 2)))))) (/ (pow (sin eps) 6) (pow (cos eps) 6)))
(/ (pow (sin (+ eps x)) 6) (pow (cos (+ eps x)) 6))
(/ (pow (sin (+ eps x)) 6) (pow (cos (+ eps x)) 6))
(/ (pow (sin (+ eps x)) 6) (pow (cos (+ eps x)) 6))
(/ (pow (sin (+ eps x)) 6) (pow (cos (+ eps x)) 6))
(/ (pow (sin (- eps (* -1 x))) 6) (pow (cos (- eps (* -1 x))) 6))
(/ (pow (sin (- eps (* -1 x))) 6) (pow (cos (- eps (* -1 x))) 6))
(/ (pow (sin (- eps (* -1 x))) 6) (pow (cos (- eps (* -1 x))) 6))
(/ (pow (sin (- eps (* -1 x))) 6) (pow (cos (- eps (* -1 x))) 6))
(/ (pow (sin x) 6) (pow (cos x) 6))
(+ (* 2 (/ (* eps (* (pow (sin x) 3) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))))) (pow (cos x) 3))) (/ (pow (sin x) 6) (pow (cos x) 6)))
(+ (* eps (+ (* 2 (/ (* (pow (sin x) 3) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2)))) (pow (cos x) 3))) (* eps (+ (* 2 (/ (* (pow (sin x) 3) (+ (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))) (+ (/ (* (sin x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (cos x)) (/ (* (pow (sin x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 3))))) (pow (cos x) 3))) (pow (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) 2))))) (/ (pow (sin x) 6) (pow (cos x) 6)))
(+ (* eps (+ (* 2 (/ (* (pow (sin x) 3) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2)))) (pow (cos x) 3))) (* eps (+ (* 2 (/ (* (pow (sin x) 3) (+ (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))) (+ (/ (* (sin x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (cos x)) (/ (* (pow (sin x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 3))))) (pow (cos x) 3))) (+ (* eps (+ (* 2 (* (+ (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))) (+ (/ (* (sin x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (cos x)) (/ (* (pow (sin x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 3)))) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))))) (* 2 (/ (* (pow (sin x) 3) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (cos x) 2))) (+ (* 2 (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (cos x) 2))) (+ (* (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (sin x) (+ (* -2 (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (cos x)))))) (pow (cos x) 3))))) (pow (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) 2)))))) (/ (pow (sin x) 6) (pow (cos x) 6)))
(/ (pow (sin (+ eps x)) 6) (pow (cos (+ eps x)) 6))
(/ (pow (sin (+ eps x)) 6) (pow (cos (+ eps x)) 6))
(/ (pow (sin (+ eps x)) 6) (pow (cos (+ eps x)) 6))
(/ (pow (sin (+ eps x)) 6) (pow (cos (+ eps x)) 6))
(/ (pow (sin (- x (* -1 eps))) 6) (pow (cos (- x (* -1 eps))) 6))
(/ (pow (sin (- x (* -1 eps))) 6) (pow (cos (- x (* -1 eps))) 6))
(/ (pow (sin (- x (* -1 eps))) 6) (pow (cos (- x (* -1 eps))) 6))
(/ (pow (sin (- x (* -1 eps))) 6) (pow (cos (- x (* -1 eps))) 6))
-1/3
(- (* -4/3 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))
1/3
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (* (pow eps 2) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* (pow eps 2) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* 17/9 (* (pow eps 2) x)))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
(* -1/3 x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))
(* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))))
(* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))))
(* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))))
(* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))))
(* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))))
(* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))))
(* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))))
(* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))))
(/ (sin eps) (cos eps))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(/ (sin x) (cos x))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(+ (* x (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))
(+ (* x (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* x (+ (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))) (+ (/ (* (sin eps) (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2))) (cos eps)) (/ (* (pow (sin eps) 3) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 3))))) (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))
(+ (* x (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* x (+ (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))) (+ (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (pow (cos eps) 2))) (+ (* 2 (/ (* (pow (sin eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (cos eps) 2))) (+ (* (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (* (sin eps) (+ (* -2 (/ (* (sin eps) (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (cos eps))) (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))))) (cos eps)))))) (+ (/ (* (sin eps) (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2))) (cos eps)) (/ (* (pow (sin eps) 3) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 3)))))) (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))
(/ (pow (sin (+ eps x)) 3) (pow (cos (+ eps x)) 3))
(/ (pow (sin (+ eps x)) 3) (pow (cos (+ eps x)) 3))
(/ (pow (sin (+ eps x)) 3) (pow (cos (+ eps x)) 3))
(/ (pow (sin (+ eps x)) 3) (pow (cos (+ eps x)) 3))
(/ (pow (sin (- eps (* -1 x))) 3) (pow (cos (- eps (* -1 x))) 3))
(/ (pow (sin (- eps (* -1 x))) 3) (pow (cos (- eps (* -1 x))) 3))
(/ (pow (sin (- eps (* -1 x))) 3) (pow (cos (- eps (* -1 x))) 3))
(/ (pow (sin (- eps (* -1 x))) 3) (pow (cos (- eps (* -1 x))) 3))
(/ (pow (sin x) 3) (pow (cos x) 3))
(+ (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2)))) (/ (pow (sin x) 3) (pow (cos x) 3)))
(+ (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))) (+ (/ (* (sin x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (cos x)) (/ (* (pow (sin x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 3))))) (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))))) (/ (pow (sin x) 3) (pow (cos x) 3)))
(+ (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))) (+ (* eps (+ (* -1 (/ (* (pow (sin x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (cos x) 2))) (+ (* 2 (/ (* (pow (sin x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (cos x) 2))) (+ (* (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (sin x) (+ (* -2 (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (cos x)))))) (+ (/ (* (sin x) (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (cos x)) (/ (* (pow (sin x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 3)))))) (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))))) (/ (pow (sin x) 3) (pow (cos x) 3)))
(/ (pow (sin (+ eps x)) 3) (pow (cos (+ eps x)) 3))
(/ (pow (sin (+ eps x)) 3) (pow (cos (+ eps x)) 3))
(/ (pow (sin (+ eps x)) 3) (pow (cos (+ eps x)) 3))
(/ (pow (sin (+ eps x)) 3) (pow (cos (+ eps x)) 3))
(/ (pow (sin (- x (* -1 eps))) 3) (pow (cos (- x (* -1 eps))) 3))
(/ (pow (sin (- x (* -1 eps))) 3) (pow (cos (- x (* -1 eps))) 3))
(/ (pow (sin (- x (* -1 eps))) 3) (pow (cos (- x (* -1 eps))) 3))
(/ (pow (sin (- x (* -1 eps))) 3) (pow (cos (- x (* -1 eps))) 3))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(+ (* 2 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* x (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+ (* x (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* x (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* x (+ (* -2 (/ (* (sin eps) (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (cos eps))) (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
Outputs
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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(* (pow eps 4) (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))))) eps))))
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(* eps (+ 1 (* 1/3 (pow eps 2))))
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1/3
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(+ 1/3 (* 4/3 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (*.f64 x x)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/9 binary64) (*.f64 (*.f64 x x) #s(literal 248/135 binary64)))))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))))
(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(*.f64 eps (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(*.f64 eps (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(*.f64 eps (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(* -1 (* (pow eps 2) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 eps eps)))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(*.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) eps) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 eps eps))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(*.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) eps) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 eps eps))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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(* -1 (* (pow eps 2) (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
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(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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(* 1/3 eps)
(*.f64 eps #s(literal 1/3 binary64))
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
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(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
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(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* 17/9 (* (pow eps 2) x)))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))))
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(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))
(/ (pow (sin (- x (* -1 eps))) 3) (pow (cos (- x (* -1 eps))) 3))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))
(/ (pow (sin (- x (* -1 eps))) 3) (pow (cos (- x (* -1 eps))) 3))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))
(/ (pow (sin (- x (* -1 eps))) 3) (pow (cos (- x (* -1 eps))) 3))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))
(/ (pow (sin (- x (* -1 eps))) 3) (pow (cos (- x (* -1 eps))) 3))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))
(+ (* 2 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sin.f64 eps)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))
(+ (* x (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* x (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)))))))
(+ (* x (+ (* 2 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* x (+ (* 2 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* x (+ (* -2 (/ (* (sin eps) (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (cos eps))) (* 2 (/ (* (sin eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (cos eps))))) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 eps) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (cos.f64 eps)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 eps) (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)))))))))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* 2 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))))
(+ (* eps (+ (* 2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* eps (+ (* 2 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* eps (+ (* -2 (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) (* 2 (/ (* (sin x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (cos x))))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) (+.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))))))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))

eval585.0ms (1.5%)

Compiler

Compiled 101802 to 4803 computations (95.3% saved)

prune373.0ms (1%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1455111466
Fresh6612
Picked415
Done011
Total1465191484
Accuracy
100.0%
Counts
1484 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.7%
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
✓60.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
19.4%
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
60.5%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶60.4%
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
59.9%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
59.8%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
✓60.4%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶100.0%
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps)
98.2%
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
98.2%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))
▶99.8%
(*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.4%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
▶98.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))
98.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64)))))))))))
98.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
▶98.2%
eps
Compiler

Compiled 1054 to 560 computations (46.9% saved)

simplify546.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff6592
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
✓cost-diff6592
(*.f64 eps (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
✓cost-diff19392
(+.f64 (*.f64 eps (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓cost-diff19392
(*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
✓cost-diff0
(/.f64 (sin.f64 x) (cos.f64 x))
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓cost-diff256
(*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))
✓cost-diff256
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))
✓cost-diff256
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))))
✓cost-diff256
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))
✓cost-diff58752
(*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))
✓cost-diff58752
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))
✓cost-diff58752
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))
✓cost-diff58752
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps)
Rules
3456×+-lowering-+.f64
3456×+-lowering-+.f32
2740×*-lowering-*.f32
2740×*-lowering-*.f64
1682×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0621029
1209892
2812821
33645748
47792748
08615748
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))) eps)
(* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))))
eps
(+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))
(pow (tan x) 2)
(tan x)
x
2
(* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))
(+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))
(+ (tan x) (pow (tan x) 3))
(pow (tan x) 3)
3
(* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))
(- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))
(+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2))))
(- 1/3 (* (pow (tan x) 2) -1/3))
1/3
(* (pow (tan x) 2) -1/3)
-1/3
(* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))
(+ 1 (pow (tan x) 2))
1
(* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))
(+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))
(* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x))
(- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2))))
(+ -1/3 (* (pow (tan x) 2) -1/3))
(* (+ (tan x) (pow (tan x) 3)) -1/3)
eps
(* eps (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3))))))))
eps
(+ 1 (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3)))))))
1
(+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3))))))
(* 1/3 (* eps eps))
1/3
(* eps eps)
(* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3)))))
x
(+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3))))
(* x (+ 1 (* (* eps eps) 4/3)))
(+ 1 (* (* eps eps) 4/3))
(* (* eps eps) 4/3)
4/3
(* eps (+ 1 (* (* eps eps) 2/3)))
(+ 1 (* (* eps eps) 2/3))
(* (* eps eps) 2/3)
2/3
(- (tan (+ x eps)) (/ (sin x) (cos x)))
(tan (+ x eps))
(+ x eps)
x
eps
(/ (sin x) (cos x))
(sin x)
(cos x)
(* eps (+ (* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
eps
(+ (* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
1
(+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(/ (sin x) (cos x))
(sin x)
x
(cos x)
(/ (pow (sin x) 3) (pow (cos x) 3))
(pow (sin x) 3)
3
(pow (cos x) 3)
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
2
(pow (cos x) 2)
Outputs
(+ (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))) eps)
(*.f64 eps (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (tan.f64 x) (*.f64 eps (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))))))))
(* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))))
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (tan.f64 x) (*.f64 eps (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))))))))
eps
(+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (tan.f64 x) (*.f64 eps (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))))))))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))
(*.f64 eps (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (tan.f64 x) (*.f64 eps (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))))))
(+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))
(-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (tan.f64 x) (*.f64 eps (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))))))
(+ (tan x) (pow (tan x) 3))
(+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(pow (tan x) 3)
(pow.f64 (tan.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))
(*.f64 eps (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (*.f64 eps (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))))))
(- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))
(-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (*.f64 eps (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))))
(+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(- 1/3 (* (pow (tan x) 2) -1/3))
(+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(* (pow (tan x) 2) -1/3)
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(+ 1 (pow (tan x) 2))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))
(*.f64 eps (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))))
(+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))
(*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x))
(*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+ -1/3 (* (pow (tan x) 2) -1/3))
(+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(* (+ (tan x) (pow (tan x) 3)) -1/3)
(*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))
eps
(* eps (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3))))))))
(*.f64 eps (+.f64 (*.f64 x (+.f64 eps (+.f64 x (*.f64 (*.f64 eps eps) (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x #s(literal 4/3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/3 binary64))))))
eps
(+ 1 (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3)))))))
(+.f64 (*.f64 x (+.f64 eps (+.f64 x (*.f64 (*.f64 eps eps) (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x #s(literal 4/3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/3 binary64)))))
1
#s(literal 1 binary64)
(+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3))))))
(+.f64 (*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) (*.f64 x (+.f64 eps (+.f64 x (*.f64 (*.f64 eps eps) (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x #s(literal 4/3 binary64))))))))
(* 1/3 (* eps eps))
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(* eps eps)
(*.f64 eps eps)
(* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3)))))
(*.f64 x (+.f64 eps (+.f64 x (*.f64 (*.f64 eps eps) (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x #s(literal 4/3 binary64)))))))
x
(+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3))))
(+.f64 eps (+.f64 x (*.f64 (*.f64 eps eps) (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x #s(literal 4/3 binary64))))))
(* x (+ 1 (* (* eps eps) 4/3)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64)))))
(+ 1 (* (* eps eps) 4/3))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))
(* (* eps eps) 4/3)
(*.f64 eps (*.f64 eps #s(literal 4/3 binary64)))
4/3
#s(literal 4/3 binary64)
(* eps (+ 1 (* (* eps eps) 2/3)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))
(+ 1 (* (* eps eps) 2/3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))
(* (* eps eps) 2/3)
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
(- (tan (+ x eps)) (/ (sin x) (cos x)))
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin x)
(sin.f64 x)
(cos x)
(cos.f64 x)
(* eps (+ (* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)))))
eps
(+ (* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps))))
(* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))))
(* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin x)
(sin.f64 x)
x
(cos x)
(cos.f64 x)
(/ (pow (sin x) 3) (pow (cos x) 3))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (cos x) 3)
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))

localize1.4s (3.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 eps (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
✓accuracy100.0%
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
✓accuracy100.0%
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
✓accuracy100.0%
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(/.f64 (sin.f64 x) (cos.f64 x))
✓accuracy99.9%
(tan.f64 (+.f64 x eps))
✓accuracy60.6%
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓accuracy99.8%
(*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))
✓accuracy99.7%
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
✓accuracy99.7%
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
✓accuracy99.7%
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
✓accuracy99.7%
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
✓accuracy99.5%
(*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x))
✓accuracy99.5%
(*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))
✓accuracy99.4%
(*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))
Results
573.0ms144×1valid
219.0ms109×0valid
22.0ms3×3valid
Compiler

Compiled 1065 to 63 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 496.0ms
ival-mult: 160.0ms (32.3% of total)
ival-pow: 88.0ms (17.8% of total)
ival-add: 81.0ms (16.3% of total)
backward-pass: 57.0ms (11.5% of total)
...c/correct-round.rkt:119:19: 42.0ms (8.5% of total)
ival-div: 18.0ms (3.6% of total)
ival-sub: 18.0ms (3.6% of total)
ival-tan: 15.0ms (3% of total)
ival-cos: 7.0ms (1.4% of total)
ival-sin: 7.0ms (1.4% of total)
const: 2.0ms (0.4% of total)

series224.0ms (0.6%)

Counts
27 → 504
Calls
Call 1
Inputs
#<alt (+ (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))) eps)>
#<alt (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))))>
#<alt (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))>
#<alt (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))>
#<alt (* eps (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3))))))))>
#<alt (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3)))))))>
#<alt (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3))))))>
#<alt (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3)))))>
#<alt (- (tan (+ x eps)) (/ (sin x) (cos x)))>
#<alt (tan (+ x eps))>
#<alt (+ x eps)>
#<alt (/ (sin x) (cos x))>
#<alt (* eps (+ (* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ (* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))>
#<alt (* (+ (tan x) (pow (tan x) 3)) -1/3)>
#<alt (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x))>
#<alt (* (pow (tan x) 2) -1/3)>
#<alt (* (* eps eps) 4/3)>
#<alt (* (* eps eps) 2/3)>
#<alt (* 1/3 (* eps eps))>
#<alt (cos x)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 3)>
#<alt (pow (sin x) 3)>
Outputs
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))>
#<alt (* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))>
#<alt (* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))>
#<alt (* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))>
#<alt (* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))>
#<alt (* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))>
#<alt (* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps))) eps))))>
#<alt (+ eps (* 1/3 (pow eps 3)))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2)))))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))>
#<alt (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
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#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* 1/3 (/ 1 eps)) (/ x (pow eps 2))))))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ x (pow eps 2)) (/ (pow x 2) (pow eps 3))))))))>
#<alt (* 2/3 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (* 4/3 (pow x 2))) eps)) (* -2/3 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))) eps)) (* -2/3 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps))) eps)) (* 4/3 (pow x 2)))) eps)) (* -2/3 x))))>
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))))>
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))))>
#<alt (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))))>
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 (* eps (+ 1 (* 2/3 (pow eps 2))))) (* -1 (/ (+ 1 (* 1/3 (pow eps 2))) x))) x)) (* 4/3 (pow eps 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 (* eps (+ 1 (* 2/3 (pow eps 2))))) (* -1 (/ (+ 1 (* 1/3 (pow eps 2))) x))) x)) (* 4/3 (pow eps 2)))))>
#<alt (pow x 2)>
#<alt (+ (* eps x) (pow x 2))>
#<alt (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* 4/3 (pow x 2))))))) (pow x 2))>
#<alt (* 2/3 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* 1/3 (/ 1 eps)) (/ x (pow eps 2))))))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* 1/3 (/ 1 eps)) (+ (/ x (pow eps 2)) (/ (pow x 2) (pow eps 3)))))))>
#<alt (* 2/3 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (* 4/3 (pow x 2))) eps)) (* -2/3 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))) eps)) (* -2/3 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2)))) eps)) (* -2/3 x))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x)))))>
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 (* eps (+ 1 (* 2/3 (pow eps 2))))) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 (* eps (+ 1 (* 2/3 (pow eps 2))))) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))))>
#<alt (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))>
#<alt (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (pow x 2)>
#<alt (+ (* eps x) (pow x 2))>
#<alt (+ (* eps (+ x (* 4/3 (* eps (pow x 2))))) (pow x 2))>
#<alt (+ (* eps (+ x (* eps (+ (* 2/3 (* eps x)) (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (* 2/3 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (* 4/3 (/ (pow x 2) eps))))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (/ x (pow eps 2)) (/ (pow x 2) (pow eps 3))))))>
#<alt (* 2/3 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -4/3 (/ (pow x 2) eps)) (* -2/3 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 4/3 (pow x 2)) (/ x eps)) eps)) (* -2/3 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2))) eps)) (* -2/3 x))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin x) (cos x))>
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt eps>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* x (+ (* eps x) (pow eps 2))))>
#<alt (+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps x)))>
#<alt (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
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#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
Calls

126 calls:

TimeVariablePointExpression
60.0ms
eps
@0
(* eps (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3))))))))
14.0ms
x
@inf
(+ (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))) eps)
14.0ms
x
@-inf
(+ (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))) eps)
6.0ms
x
@inf
(* eps (+ (* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
6.0ms
x
@-inf
(* eps (+ (* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))

rewrite802.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
3188×*-lowering-*.f32
3188×*-lowering-*.f64
1948×+-lowering-+.f64
1948×+-lowering-+.f32
1876×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062603
1506491
25974486
08371486
Stop Event
1×iter limit
1×node limit
Counts
27 → 408
Calls
Call 1
Inputs
(+ (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))) eps)
(* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))))
(+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))
(* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))
(* eps (+ 1 (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3))))))))
(+ 1 (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3)))))))
(+ (* 1/3 (* eps eps)) (* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3))))))
(* x (+ (* x (+ 1 (* (* eps eps) 4/3))) (* eps (+ 1 (* (* eps eps) 2/3)))))
(- (tan (+ x eps)) (/ (sin x) (cos x)))
(tan (+ x eps))
(+ x eps)
(/ (sin x) (cos x))
(* eps (+ (* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* 1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))
(* (+ (tan x) (pow (tan x) 3)) -1/3)
(* (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (tan x))
(* (pow (tan x) 2) -1/3)
(* (* eps eps) 4/3)
(* (* eps eps) 2/3)
(* 1/3 (* eps eps))
(cos x)
(pow (cos x) 2)
(pow (cos x) 3)
(pow (sin x) 3)
Outputs
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))) eps)
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 eps (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))))
(+.f64 (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 eps (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps))
(-.f64 (/.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))) #s(literal 2 binary64)) (-.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))) eps)))
(fma.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps)
(fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps eps)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))) #s(literal 2 binary64)) (*.f64 eps (-.f64 eps (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))))))) (+.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps eps)))))
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(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (+.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (sin.f64 x)) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (sin.f64 x)) (*.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (tan.f64 x) (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (tan.f64 x) (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (tan.f64 x)) (+.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (tan.f64 x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (tan.f64 x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (tan.f64 x))
(*.f64 eps (*.f64 eps #s(literal 4/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 eps #s(literal 4/3 binary64)) eps)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 4/3 binary64))
(*.f64 eps (*.f64 eps #s(literal 2/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 eps #s(literal 2/3 binary64)) eps)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64))
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64))
(*.f64 (*.f64 eps #s(literal 1/3 binary64)) eps)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 (-.f64 x x))) #s(literal 2 binary64))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 2 binary64))
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 (exp.f64 (log.f64 (cos.f64 x))) (exp.f64 (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 3 binary64))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 3 binary64))
(*.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)))

simplify1.3s (3.4%)

Algorithm
1×egg-herbie
Rules
6500×+-lowering-+.f64
6500×+-lowering-+.f32
4272×*-lowering-*.f32
4272×*-lowering-*.f64
1966×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076216746
1270616164
0873716164
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
(* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
(* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))
(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps))) eps))))
(+ eps (* 1/3 (pow eps 3)))
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2)))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (* eps (pow (sin x) 2)) (pow (cos x) 2))
(* eps (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))
(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps))) eps))))
(* 1/3 (pow eps 3))
(+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))
(+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
(* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))
(+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1 (* (pow eps 3) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
(* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
(* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
(* -1 (* (pow eps 3) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* -1 (* (pow eps 3) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 3) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 3) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 3) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* -1 (* (pow eps 3) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 2/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (+ (* eps x) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* 4/3 (pow x 2))))))) (pow x 2))))
(* 2/3 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))
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(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps x)
(* x (+ eps (* 4/3 (* eps (pow x 2)))))
(* x (+ eps (* (pow x 2) (+ (* 17/15 (* eps (pow x 2))) (* 4/3 eps)))))
(* x (+ eps (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/315 (* eps (pow x 2))) (* 17/15 eps)))))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
x
(* x (+ 1 (* 4/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))
(+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (* (pow eps 2) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* -1 (* (pow eps 2) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* 17/9 (* (pow eps 2) x)))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))))
(* -1/3 x)
(* x (- (* -4/9 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -17/45 (pow x 2)) 4/9)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/945 (pow x 2)) 17/45)) 4/9)) 1/3))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 x)
(* x (- (* -13/9 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -107/45 (pow x 2)) 13/9)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2516/945 (pow x 2)) 107/45)) 13/9)) 1/3))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -2/9 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/945 (pow x 2)) 17/135)) 2/9)) 1/3))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
1
(+ 1 (* -3/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/8 (pow x 2)) 3/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* -61/240 (pow x 2)))) 3/2)))
(pow (cos x) 3)
(pow (cos x) 3)
(pow (cos x) 3)
(pow (cos x) 3)
(pow (cos x) 3)
(pow (cos x) 3)
(pow (cos x) 3)
(pow (cos x) 3)
(pow x 3)
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
Outputs
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
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(* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
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(* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
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(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))
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(* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
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(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))
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(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps))) eps))))
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(* 1/3 (pow eps 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))
(+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))
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(+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
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(+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
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(* 1/3 (pow eps 2))
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(* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
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(* -1 (* (pow eps 3) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))
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(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
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(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ 1 (pow x 2)))
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(* eps (+ 1 (+ (* eps x) (pow x 2))))
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(* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))
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(* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* 4/3 (pow x 2))))))) (pow x 2))))
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(* 2/3 (* (pow eps 4) x))
(*.f64 #s(literal 2/3 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))
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(* (pow eps 4) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* 1/3 (/ 1 eps)) (/ x (pow eps 2))))))
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(* (pow eps 4) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ x (pow eps 2)) (/ (pow x 2) (pow eps 3))))))))
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(* 2/3 (* (pow eps 4) x))
(*.f64 #s(literal 2/3 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))
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(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ x eps))) eps)) (* 2/3 x)))
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(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (+ (/ 1 eps) (/ (pow x 2) eps))) eps))) eps)) (* 2/3 x)))
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(* eps (+ 1 (* 1/3 (pow eps 2))))
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(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* -1 (* (pow eps 2) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
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(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* -1 (* (pow eps 2) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))))
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(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(*.f64 (*.f64 eps eps) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) eps) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* 1/3 eps)
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(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
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(/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
(/ (* (sin x) (- (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (- (* -2/9 (pow x 2)) 1/3))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -2/9 binary64)) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -17/135 binary64)) #s(literal -2/9 binary64))) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/945 (pow x 2)) 17/135)) 2/9)) 1/3))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -62/945 binary64)) #s(literal -17/135 binary64))) #s(literal -2/9 binary64))) #s(literal -1/3 binary64)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) #s(literal -1 binary64))))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -3/2 binary64)))
(+ 1 (* (pow x 2) (- (* 7/8 (pow x 2)) 3/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 7/8 binary64)) #s(literal -3/2 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* -61/240 (pow x 2)))) 3/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7/8 binary64) (*.f64 (*.f64 x x) #s(literal -61/240 binary64)))) #s(literal -3/2 binary64))))
(pow (cos x) 3)
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(pow (cos x) 3)
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(pow (cos x) 3)
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(pow (cos x) 3)
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(pow (cos x) 3)
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(pow (cos x) 3)
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(pow (cos x) 3)
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(pow (cos x) 3)
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 13/120 binary64)) #s(literal -1/2 binary64)))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 13/120 binary64) (*.f64 (*.f64 x x) #s(literal -41/3024 binary64)))) #s(literal -1/2 binary64)))))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))

eval380.0ms (1%)

Compiler

Compiled 52997 to 3601 computations (93.2% saved)

prune273.0ms (0.7%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New995171012
Fresh9312
Picked415
Done022
Total1008231031
Accuracy
100.0%
Counts
1031 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓60.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
51.4%
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))) (-.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))))))
19.4%
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
60.5%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
59.9%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
59.8%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
✓60.4%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.2%
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
99.6%
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))) eps)
▶100.0%
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -13/9 binary64)) #s(literal -1/3 binary64))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps)
100.0%
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps)
99.9%
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps #s(literal 1/3 binary64)))))) eps)
▶99.4%
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
98.2%
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))) eps)
▶98.8%
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))))))))) eps)
98.8%
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
98.2%
(+.f64 eps (*.f64 x (*.f64 eps eps)))
99.8%
(*.f64 eps (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
98.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
97.1%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) (/.f64 x eps))) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))))
▶98.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))
▶98.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓98.2%
eps
Compiler

Compiled 1245 to 644 computations (48.3% saved)

simplify612.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓cost-diff0
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓cost-diff0
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
✓cost-diff0
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
✓cost-diff256
(*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64)))))))))
✓cost-diff256
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))))))))
✓cost-diff256
(*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64)))))))))))
✓cost-diff256
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))))))))) eps)
✓cost-diff0
(+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))))
✓cost-diff0
(*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))))))
✓cost-diff0
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x x))
✓cost-diff0
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff19456
(*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -13/9 binary64)) #s(literal -1/3 binary64))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))
✓cost-diff25792
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -13/9 binary64)) #s(literal -1/3 binary64))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))
✓cost-diff25792
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -13/9 binary64)) #s(literal -1/3 binary64))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))
✓cost-diff25792
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -13/9 binary64)) #s(literal -1/3 binary64))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps)
Rules
4158×+-lowering-+.f64
4158×+-lowering-+.f32
2786×*-lowering-*.f32
2786×*-lowering-*.f64
2146×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064947
1233860
2956800
34054792
47136792
08155792
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))) eps)
(* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))))
eps
(+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))
(pow (tan x) 2)
(tan x)
x
2
(* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))
(+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))
(+ (tan x) (pow (tan x) 3))
(pow (tan x) 3)
3
(* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))
(- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))
(+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2))))
(- 1/3 (* (pow (tan x) 2) -1/3))
1/3
(* (pow (tan x) 2) -1/3)
-1/3
(* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))
(+ 1 (pow (tan x) 2))
1
(* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))
(+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))
(* x (+ (* (* x x) -13/9) -1/3))
(+ (* (* x x) -13/9) -1/3)
(* (* x x) -13/9)
(* x x)
-13/9
(* (+ (tan x) (pow (tan x) 3)) -1/3)
(* eps (+ 1 (* x x)))
eps
(+ 1 (* x x))
1
(* x x)
x
(* eps (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))))
eps
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))
1
(* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))
x
(+ eps (* x (+ 1 (* 4/3 (* eps x)))))
(* x (+ 1 (* 4/3 (* eps x))))
(+ 1 (* 4/3 (* eps x)))
(* 4/3 (* eps x))
4/3
(* eps x)
(+ (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))))))) eps)
(* eps (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9))))))))))
eps
(+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))))))
(* 1/3 (* eps eps))
1/3
(* eps eps)
(* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9))))))))
x
(+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))))
(* eps (+ 1 (* (* eps eps) 2/3)))
(+ 1 (* (* eps eps) 2/3))
1
(* (* eps eps) 2/3)
2/3
(* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9))))))
(+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))
(+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9))))
(* (* eps eps) 4/3)
4/3
(* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))
(* eps x)
(+ 4/3 (* (* eps eps) 17/9))
(* (* eps eps) 17/9)
17/9
(+ (* eps (+ (pow (tan x) 2) (* 1/3 (* eps eps)))) eps)
(* eps (+ (pow (tan x) 2) (* 1/3 (* eps eps))))
eps
(+ (pow (tan x) 2) (* 1/3 (* eps eps)))
(pow (tan x) 2)
(tan x)
x
2
(* 1/3 (* eps eps))
1/3
(* eps eps)
Outputs
(+ (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (*.f64 eps (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (+.f64 (*.f64 (*.f64 eps x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -13/9 binary64)))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (tan.f64 x) (*.f64 eps #s(literal 1/3 binary64))))))))) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) eps)))))
(* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (*.f64 eps (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (+.f64 (*.f64 (*.f64 eps x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -13/9 binary64)))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (tan.f64 x) (*.f64 eps #s(literal 1/3 binary64))))))))) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) eps))))
eps
(+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (*.f64 eps (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (+.f64 (*.f64 (*.f64 eps x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -13/9 binary64)))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (tan.f64 x) (*.f64 eps #s(literal 1/3 binary64))))))))) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) eps)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))
(*.f64 eps (+.f64 (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (*.f64 eps (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (+.f64 (*.f64 (*.f64 eps x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -13/9 binary64)))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (tan.f64 x) (*.f64 eps #s(literal 1/3 binary64))))))))))
(+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))
(+.f64 (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (*.f64 eps (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (+.f64 (*.f64 (*.f64 eps x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -13/9 binary64)))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (tan.f64 x) (*.f64 eps #s(literal 1/3 binary64)))))))))
(+ (tan x) (pow (tan x) 3))
(+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(pow (tan x) 3)
(pow.f64 (tan.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (+.f64 (*.f64 (*.f64 eps x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -13/9 binary64)))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (tan.f64 x) (*.f64 eps #s(literal 1/3 binary64)))))))
(- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (+.f64 (*.f64 (*.f64 eps x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -13/9 binary64)))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (tan.f64 x) (*.f64 eps #s(literal 1/3 binary64))))))
(+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2))))
(-.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -4/3 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(- 1/3 (* (pow (tan x) 2) -1/3))
(+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(* (pow (tan x) 2) -1/3)
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(+ 1 (pow (tan x) 2))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))
(*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -13/9 binary64)))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))
(+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))
(+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -13/9 binary64)))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))
(* x (+ (* (* x x) -13/9) -1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -13/9 binary64))))
(+ (* (* x x) -13/9) -1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -13/9 binary64)))
(* (* x x) -13/9)
(*.f64 (*.f64 x x) #s(literal -13/9 binary64))
(* x x)
(*.f64 x x)
-13/9
#s(literal -13/9 binary64)
(* (+ (tan x) (pow (tan x) 3)) -1/3)
(*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))
(* eps (+ 1 (* x x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
eps
(+ 1 (* x x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(* eps (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))))))))
eps
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64))))))))
1
#s(literal 1 binary64)
(* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))
(*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))))))
x
(+ eps (* x (+ 1 (* 4/3 (* eps x)))))
(+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64))))))
(* x (+ 1 (* 4/3 (* eps x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))))
(+ 1 (* 4/3 (* eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64))))
(* 4/3 (* eps x))
(*.f64 x (*.f64 eps #s(literal 4/3 binary64)))
4/3
#s(literal 4/3 binary64)
(* eps x)
(*.f64 eps x)
(+ (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))))))) eps)
(*.f64 eps (+.f64 (*.f64 x (+.f64 x (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))) (*.f64 (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))) x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))))
(* eps (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9))))))))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 x (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))) (*.f64 (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))) x)))))))
eps
(+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 x (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))) (*.f64 (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))) x))))))
(* 1/3 (* eps eps))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
1/3
#s(literal 1/3 binary64)
(* eps eps)
(*.f64 eps eps)
(* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9))))))))
(*.f64 x (+.f64 x (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))) (*.f64 (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))) x)))))
x
(+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))))
(+.f64 x (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))) (*.f64 (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))) x))))
(* eps (+ 1 (* (* eps eps) 2/3)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))
(+ 1 (* (* eps eps) 2/3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))
1
#s(literal 1 binary64)
(* (* eps eps) 2/3)
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
(* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))))))
(+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))))))
(+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))))
(* (* eps eps) 4/3)
(*.f64 eps (*.f64 eps #s(literal 4/3 binary64)))
4/3
#s(literal 4/3 binary64)
(* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))
(* eps x)
(*.f64 eps x)
(+ 4/3 (* (* eps eps) 17/9))
(+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))
(* (* eps eps) 17/9)
(*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))
17/9
#s(literal 17/9 binary64)
(+ (* eps (+ (pow (tan x) 2) (* 1/3 (* eps eps)))) eps)
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))))
(* eps (+ (pow (tan x) 2) (* 1/3 (* eps eps))))
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
eps
(+ (pow (tan x) 2) (* 1/3 (* eps eps)))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(* 1/3 (* eps eps))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
1/3
#s(literal 1/3 binary64)
(* eps eps)
(*.f64 eps eps)

localize868.0ms (2.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓accuracy99.9%
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
✓accuracy99.9%
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓accuracy99.7%
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
✓accuracy99.7%
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
✓accuracy99.7%
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
✓accuracy99.7%
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
✓accuracy100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))
✓accuracy100.0%
(+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))))
✓accuracy99.8%
(*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))
✓accuracy99.7%
(*.f64 #s(literal 4/3 binary64) (*.f64 eps x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓accuracy99.7%
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
✓accuracy99.5%
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -13/9 binary64)) #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))
✓accuracy99.4%
(*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -13/9 binary64)) #s(literal -1/3 binary64))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))
Results
506.0ms253×0valid
15.0ms2×3valid
5.0ms1×1valid
Compiler

Compiled 994 to 65 computations (93.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 297.0ms
ival-mult: 142.0ms (47.8% of total)
ival-add: 63.0ms (21.2% of total)
...c/correct-round.rkt:119:19: 57.0ms (19.2% of total)
ival-pow: 20.0ms (6.7% of total)
ival-sub: 6.0ms (2% of total)
ival-tan: 5.0ms (1.7% of total)
backward-pass: 3.0ms (1% of total)
const: 1.0ms (0.3% of total)

series161.0ms (0.4%)

Counts
28 → 564
Calls
Call 1
Inputs
#<alt (+ (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))) eps)>
#<alt (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))))>
#<alt (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))>
#<alt (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))>
#<alt (* eps (+ 1 (* x x)))>
#<alt (+ 1 (* x x))>
#<alt (* x x)>
#<alt (* eps (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))))>
#<alt (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))>
#<alt (* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))>
#<alt (+ eps (* x (+ 1 (* 4/3 (* eps x)))))>
#<alt (+ (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))))))) eps)>
#<alt (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9))))))))))>
#<alt (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))))))>
#<alt (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9))))))))>
#<alt (+ (* eps (+ (pow (tan x) 2) (* 1/3 (* eps eps)))) eps)>
#<alt (* eps (+ (pow (tan x) 2) (* 1/3 (* eps eps))))>
#<alt (+ (pow (tan x) 2) (* 1/3 (* eps eps)))>
#<alt (pow (tan x) 2)>
#<alt (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))>
#<alt (* (+ (tan x) (pow (tan x) 3)) -1/3)>
#<alt (* x (+ (* (* x x) -13/9) -1/3))>
#<alt (* (pow (tan x) 2) -1/3)>
#<alt (* 4/3 (* eps x))>
#<alt (* (* eps eps) 4/3)>
#<alt (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))>
#<alt (* (* eps eps) 2/3)>
#<alt (* 1/3 (* eps eps))>
Outputs
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))>
#<alt (* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))>
#<alt (* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))>
#<alt (* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))>
#<alt (* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))>
#<alt (* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))>
#<alt (* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps))) eps))))>
#<alt (+ eps (* 1/3 (pow eps 3)))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2)))))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))>
#<alt (* 13/9 (* (pow eps 4) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 4) (pow x 2))) (* 13/9 (pow eps 4))))>
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#<alt (* -1 (* (pow x 3) (+ (* -13/9 (pow eps 3)) (+ (* -1 (/ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 3))) (* -1/3 (/ (pow eps 3) (pow x 2)))))))>
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#<alt 1>
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#<alt (* -1 (* (pow eps 2) (* x (- (* -4/3 (pow x 2)) 1))))>
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#<alt eps>
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#<alt (+ eps (* x (+ (* eps x) (pow eps 2))))>
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#<alt (* -1 (* (pow x 3) (+ (* -4/3 (pow eps 2)) (* -1 (/ (+ eps (* -1 (/ (+ (* -1 (/ eps x)) (* -1 (pow eps 2))) x))) x)))))>
#<alt 1>
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#<alt (* eps x)>
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#<alt (* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))>
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#<alt (pow x 2)>
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#<alt x>
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#<alt (* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))>
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#<alt (* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))))>
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#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 3))) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ eps (pow x 3)) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))))>
#<alt (* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
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#<alt (* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))) x)))))>
#<alt (* eps (pow x 2))>
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#<alt (* eps (+ (* eps (+ (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2)))>
#<alt (* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
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#<alt (* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3)))))))>
#<alt (* -1 (* (pow eps 4) (* x (- (* -17/9 (pow x 2)) 2/3))))>
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#<alt (* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) eps))))>
#<alt (* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ (* -1 (* x (- (* -4/3 (pow x 2)) 1))) (/ (pow x 2) eps)) eps))) eps))))>
#<alt (* 1/3 (pow eps 3))>
#<alt (+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))>
#<alt (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))>
#<alt (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))>
#<alt (* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
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#<alt (* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 3))) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))>
#<alt (* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))) (* -1/3 (/ (pow eps 3) x))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))) x)))))>
#<alt (pow x 2)>
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#<alt (* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
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#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3)))))))>
#<alt (* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2)))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2)))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))>
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#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))>
#<alt (* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 3))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))))>
#<alt (* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1 (* eps (+ 1 (* 2/3 (pow eps 2))))) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))) x)))))>
#<alt (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))>
#<alt (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))>
#<alt (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))>
#<alt (* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))>
#<alt (* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) x)))))>
#<alt (pow x 2)>
#<alt (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))>
#<alt (+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (+ (* eps (+ (* eps (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
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#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))>
#<alt (* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))>
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#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
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#<alt (* 1/3 (pow eps 3))>
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#<alt (* (pow eps 3) (+ 1/3 (+ (/ 1 (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (/ 1 (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))))>
#<alt (* 1/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))) (+ 1/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))) (+ 1/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))) (+ 1/3 (/ 1 (pow eps 2))))))>
#<alt (+ eps (* 1/3 (pow eps 3)))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* eps (pow x 2))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps)))))))>
#<alt (+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))>
#<alt (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* 1/3 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 3) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 3) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))>
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#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))) 1/3)))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))) 1/3)))>
#<alt (* 1/3 (pow eps 3))>
#<alt (+ (* 1/3 (pow eps 3)) (* eps (pow x 2)))>
#<alt (+ (* 1/3 (pow eps 3)) (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))>
#<alt (+ (* 1/3 (pow eps 3)) (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))>
#<alt (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (pow x 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
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#<alt (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
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#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))>
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#<alt (* 1/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 2) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 2) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 2) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 2) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (* (pow eps 2) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))>
#<alt (* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* -1 (* (pow eps 2) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))>
#<alt (* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* 1/3 eps)>
#<alt (+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))>
#<alt (+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))>
#<alt (+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* 17/9 (* (pow eps 2) x)))))))>
#<alt (* 13/9 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (* 13/9 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 13/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3)))))>
#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 13/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3)))))>
#<alt (* 13/9 (* (pow eps 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -13/9 (pow eps 2)) (* -1/3 (/ (pow eps 2) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -13/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3))) (* -1/3 (/ (pow eps 2) (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -13/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3))) (* -1/3 (/ (pow eps 2) (pow x 2)))))))>
#<alt (* -1/3 x)>
#<alt (* x (- (* -4/9 (pow x 2)) 1/3))>
#<alt (* x (- (* (pow x 2) (- (* -17/45 (pow x 2)) 4/9)) 1/3))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/945 (pow x 2)) 17/45)) 4/9)) 1/3))>
#<alt (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* -1/3 x)>
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#<alt (* x (- (* -13/9 (pow x 2)) 1/3))>
#<alt (* x (- (* -13/9 (pow x 2)) 1/3))>
#<alt (* -13/9 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 13/9 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 13/9 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 13/9 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -13/9 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 13/9 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 13/9 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 13/9 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/945 (pow x 2)) 17/135)) 2/9)) 1/3))>
#<alt (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* 4/3 (* eps x))>
#<alt (* eps (+ (* 4/3 x) (* 17/9 (* (pow eps 2) x))))>
#<alt (* eps (+ (* 4/3 x) (* 17/9 (* (pow eps 2) x))))>
#<alt (* eps (+ (* 4/3 x) (* 17/9 (* (pow eps 2) x))))>
#<alt (* 17/9 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (* 17/9 x)))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (* 17/9 x)))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (* 17/9 x)))>
#<alt (* 17/9 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -17/9 x) (* -4/3 (/ x (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -17/9 x) (* -4/3 (/ x (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -17/9 x) (* -4/3 (/ x (pow eps 2))))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
Calls

141 calls:

TimeVariablePointExpression
18.0ms
eps
@0
(+ (* eps (+ (pow (tan x) 2) (* 1/3 (* eps eps)))) eps)
10.0ms
x
@-inf
(+ (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))) eps)
7.0ms
x
@inf
(+ (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))) eps)
4.0ms
eps
@-inf
(+ (* eps (+ (pow (tan x) 2) (* 1/3 (* eps eps)))) eps)
3.0ms
eps
@inf
(+ (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))))))) eps)

rewrite788.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
3608×*-lowering-*.f32
3608×*-lowering-*.f64
2122×+-lowering-+.f64
2122×+-lowering-+.f32
1476×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064574
1504510
25735505
08436505
Stop Event
1×iter limit
1×node limit
Counts
28 → 377
Calls
Call 1
Inputs
(+ (* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))) eps)
(* eps (+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))))
(+ (pow (tan x) 2) (* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3))))))))
(* eps (+ (+ (tan x) (pow (tan x) 3)) (* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))))
(* eps (+ 1 (* x x)))
(+ 1 (* x x))
(* x x)
(* eps (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))))
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))
(* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))
(+ eps (* x (+ 1 (* 4/3 (* eps x)))))
(+ (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))))))) eps)
(* eps (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9))))))))))
(+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))))))))
(* x (+ (* eps (+ 1 (* (* eps eps) 2/3))) (* x (+ 1 (+ (* (* eps eps) 4/3) (* (* eps x) (+ 4/3 (* (* eps eps) 17/9))))))))
(+ (* eps (+ (pow (tan x) 2) (* 1/3 (* eps eps)))) eps)
(* eps (+ (pow (tan x) 2) (* 1/3 (* eps eps))))
(+ (pow (tan x) 2) (* 1/3 (* eps eps)))
(pow (tan x) 2)
(* eps (- (+ (- 1/3 (* (pow (tan x) 2) -1/3)) (* (pow (tan x) 2) (+ 1 (pow (tan x) 2)))) (* eps (+ (* x (+ (* (* x x) -13/9) -1/3)) (* (+ (tan x) (pow (tan x) 3)) -1/3)))))
(* (+ (tan x) (pow (tan x) 3)) -1/3)
(* x (+ (* (* x x) -13/9) -1/3))
(* (pow (tan x) 2) -1/3)
(* 4/3 (* eps x))
(* (* eps eps) 4/3)
(* (* eps x) (+ 4/3 (* (* eps eps) 17/9)))
(* (* eps eps) 2/3)
(* 1/3 (* eps eps))
Outputs
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))) eps)
(+.f64 (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 eps (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps))
(+.f64 (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 eps (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))) #s(literal 2 binary64)) (-.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))))) eps)))
(fma.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps)
(fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps eps)
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(/.f64 (*.f64 eps (-.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))) (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))) #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))) (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))) #s(literal 2 binary64))) eps) (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))))))
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(*.f64 (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))) eps)
(+.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) #s(literal -1/3 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64)) (*.f64 (tan.f64 x) #s(literal -1/3 binary64)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 9 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 9 binary64))) #s(literal -1/3 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) #s(literal -1/3 binary64)) (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -13/9 binary64)))) (*.f64 x #s(literal -1/3 binary64)))
(+.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -13/9 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -13/9 binary64))) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -13/9 binary64))) x (*.f64 x #s(literal -1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -13/9 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -13/9 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -13/9 binary64)))) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -13/9 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -13/9 binary64))))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x #s(literal -1/3 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -13/9 binary64)))) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -2197/729 binary64)) #s(literal -1/27 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 169/81 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 13/27 binary64)))))
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 169/81 binary64)) #s(literal -1/9 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -13/9 binary64))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -2197/729 binary64)) #s(literal -1/27 binary64)) x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 169/81 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 13/27 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 169/81 binary64)) #s(literal -1/9 binary64)) x) (+.f64 (*.f64 x (*.f64 x #s(literal -13/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64)))))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -13/9 binary64)))) x)
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (tan.f64 x))
(*.f64 eps (*.f64 x #s(literal 4/3 binary64)))
(*.f64 x (*.f64 eps #s(literal 4/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64))))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps x))
(*.f64 (*.f64 eps x) #s(literal 4/3 binary64))
(*.f64 (*.f64 x (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 eps #s(literal 4/3 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps x)) #s(literal 4/3 binary64))
(*.f64 (*.f64 #s(literal 4/3 binary64) x) eps)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 4/3 binary64))) x)
(*.f64 eps (*.f64 eps #s(literal 4/3 binary64)))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(*.f64 (*.f64 eps #s(literal 4/3 binary64)) eps)
(+.f64 (*.f64 x (*.f64 eps #s(literal 4/3 binary64))) (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))))
(+.f64 (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))) (*.f64 x (*.f64 eps #s(literal 4/3 binary64))))
(fma.f64 #s(literal 4/3 binary64) (*.f64 eps x) (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))))
(fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))))
(fma.f64 (*.f64 eps #s(literal 4/3 binary64)) x (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 4/3 binary64))) (*.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps x) (*.f64 eps x)))) (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps x) (*.f64 eps x))) (-.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))) (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))) (*.f64 (*.f64 x (*.f64 eps #s(literal 4/3 binary64))) (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps x) (*.f64 eps x))) (*.f64 (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))) (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))))) (-.f64 (*.f64 x (*.f64 eps #s(literal 4/3 binary64))) (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))))
(/.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 64/27 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 289/81 binary64))))) (+.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))) (-.f64 (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))) #s(literal 4/3 binary64)))))
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(/.f64 (*.f64 (+.f64 #s(literal 64/27 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 289/81 binary64)))) (*.f64 eps x)) (+.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))) (-.f64 (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))) #s(literal 4/3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 289/81 binary64))) (*.f64 eps x)) (-.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))
(*.f64 eps (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))))
(*.f64 x (*.f64 eps (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))
(*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))) (*.f64 eps x))
(*.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))))) eps)
(*.f64 (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))) eps) x)
(*.f64 eps (*.f64 eps #s(literal 2/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 2/3 binary64))))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps (*.f64 eps #s(literal 2/3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 eps #s(literal 2/3 binary64)) eps)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64))
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64))
(*.f64 (*.f64 eps #s(literal 1/3 binary64)) eps)

simplify980.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
5514×*-lowering-*.f32
5514×*-lowering-*.f64
5284×+-lowering-+.f64
5284×+-lowering-+.f32
1822×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084113017
1318112755
0819312755
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
(* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))
(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps))) eps))))
(+ eps (* 1/3 (pow eps 3)))
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2)))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))
(* 13/9 (* (pow eps 4) (pow x 3)))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 4) (pow x 2))) (* 13/9 (pow eps 4))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 4) (pow x 2))) (+ (* 13/9 (pow eps 4)) (+ (/ eps (pow x 3)) (/ (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow x 3))))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 4) (pow x 2))) (+ (* 13/9 (pow eps 4)) (+ (/ eps (pow x 3)) (/ (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow x 3))))))
(* 13/9 (* (pow eps 4) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 4)) (* -1/3 (/ (pow eps 4) (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 4)) (+ (* -1 (/ (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3))) (* -1/3 (/ (pow eps 4) (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 4)) (+ (* -1 (/ (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3))) (* -1/3 (/ (pow eps 4) (pow x 2)))))))
(/ (* eps (pow (sin x) 2)) (pow (cos x) 2))
(* eps (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))
(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps))) eps))))
(* 1/3 (pow eps 3))
(+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))
(+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
(* 13/9 (* (pow eps 4) (pow x 3)))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 4) (pow x 2))) (* 13/9 (pow eps 4))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 4) (pow x 2))) (+ (* 13/9 (pow eps 4)) (/ (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow x 3)))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 4) (pow x 2))) (+ (* 13/9 (pow eps 4)) (/ (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow x 3)))))
(* 13/9 (* (pow eps 4) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 4)) (* -1/3 (/ (pow eps 4) (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 4)) (+ (* -1 (/ (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow x 3))) (* -1/3 (/ (pow eps 4) (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 4)) (+ (* -1 (/ (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow x 3))) (* -1/3 (/ (pow eps 4) (pow x 2)))))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))
(* 13/9 (* (pow eps 3) (pow x 3)))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (* 13/9 (pow eps 3))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* 13/9 (pow eps 3)) (+ (/ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 3)) (/ (pow (sin x) 2) (* (pow x 3) (pow (cos x) 2)))))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* 13/9 (pow eps 3)) (+ (/ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 3)) (/ (pow (sin x) 2) (* (pow x 3) (pow (cos x) 2)))))))
(* 13/9 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 3)) (* -1/3 (/ (pow eps 3) (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 3)) (+ (* -1 (/ (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 3))) (* -1/3 (/ (pow eps 3) (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 3)) (+ (* -1 (/ (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 3))) (* -1/3 (/ (pow eps 3) (pow x 2)))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1 (* (pow eps 3) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
(* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(* -1 (* (pow eps 3) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* -1 (* (pow eps 3) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
(* (pow eps 3) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 3) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 3) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* -1 (* (pow eps 3) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 2/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))
(* 13/9 (* (pow eps 3) (pow x 3)))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (* 13/9 (pow eps 3))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* 13/9 (pow eps 3)) (/ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 3)))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* 13/9 (pow eps 3)) (/ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 3)))))
(* 13/9 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 3)) (* -1/3 (/ (pow eps 3) (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 3)) (+ (* -1 (/ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 3))) (* -1/3 (/ (pow eps 3) (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 3)) (+ (* -1 (/ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 3))) (* -1/3 (/ (pow eps 3) (pow x 2)))))))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
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(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* eps (pow x 2)))
(+ eps (* eps (pow x 2)))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))))
(* (pow eps 2) (* x (+ 1 (* 4/3 (pow x 2)))))
(* (pow eps 2) (+ (* x (+ 1 (* 4/3 (pow x 2)))) (+ (/ 1 eps) (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* x (+ 1 (* 4/3 (pow x 2)))) (+ (/ 1 eps) (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* x (+ 1 (* 4/3 (pow x 2)))) (+ (/ 1 eps) (/ (pow x 2) eps))))
(* -1 (* (pow eps 2) (* x (- (* -4/3 (pow x 2)) 1))))
(* (pow eps 2) (+ (* -1 (* x (- (* -4/3 (pow x 2)) 1))) (+ (/ 1 eps) (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* -1 (* x (- (* -4/3 (pow x 2)) 1))) (+ (/ 1 eps) (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* -1 (* x (- (* -4/3 (pow x 2)) 1))) (+ (/ 1 eps) (/ (pow x 2) eps))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
(* 4/3 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 4/3 (pow eps 2)) (/ eps x)))
(* (pow x 3) (+ (* 4/3 (pow eps 2)) (+ (/ eps x) (/ (pow eps 2) (pow x 2)))))
(* (pow x 3) (+ (* 4/3 (pow eps 2)) (+ (/ eps x) (+ (/ eps (pow x 3)) (/ (pow eps 2) (pow x 2))))))
(* 4/3 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -4/3 (pow eps 2)) (* -1 (/ eps x)))))
(* -1 (* (pow x 3) (+ (* -4/3 (pow eps 2)) (* -1 (/ (+ eps (/ (pow eps 2) x)) x)))))
(* -1 (* (pow x 3) (+ (* -4/3 (pow eps 2)) (* -1 (/ (+ eps (* -1 (/ (+ (* -1 (/ eps x)) (* -1 (pow eps 2))) x))) x)))))
1
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(* 4/3 (* eps (pow x 3)))
(* (pow x 3) (+ (* 4/3 eps) (/ 1 x)))
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(* (pow x 3) (+ (* 4/3 eps) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ eps (pow x 2))))))
(* 4/3 (* eps (pow x 3)))
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(* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (/ eps x)) x)))))
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(+ 1 (pow x 2))
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(* eps (* x (+ 1 (* 4/3 (pow x 2)))))
(* eps (+ (* x (+ 1 (* 4/3 (pow x 2)))) (+ (/ 1 eps) (/ (pow x 2) eps))))
(* eps (+ (* x (+ 1 (* 4/3 (pow x 2)))) (+ (/ 1 eps) (/ (pow x 2) eps))))
(* eps (+ (* x (+ 1 (* 4/3 (pow x 2)))) (+ (/ 1 eps) (/ (pow x 2) eps))))
(* -1 (* eps (* x (- (* -4/3 (pow x 2)) 1))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (pow x 2)) eps)) (* x (- (* -4/3 (pow x 2)) 1)))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (pow x 2)) eps)) (* x (- (* -4/3 (pow x 2)) 1)))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (pow x 2)) eps)) (* x (- (* -4/3 (pow x 2)) 1)))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))
(* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))
(* 4/3 (* eps (pow x 3)))
(* (pow x 3) (+ (* 4/3 eps) (/ 1 x)))
(* (pow x 3) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
(* (pow x 3) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
(* 4/3 (* eps (pow x 3)))
(* -1 (* (pow x 3) (- (* -4/3 eps) (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (/ eps x)) x)))))
(* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (/ eps x)) x)))))
(pow x 2)
(+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))
(+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))
(+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))
(* eps (* x (+ 1 (* 4/3 (pow x 2)))))
(* eps (+ (* x (+ 1 (* 4/3 (pow x 2)))) (/ (pow x 2) eps)))
(* eps (+ (* x (+ 1 (* 4/3 (pow x 2)))) (/ (pow x 2) eps)))
(* eps (+ (* x (+ 1 (* 4/3 (pow x 2)))) (/ (pow x 2) eps)))
(* -1 (* eps (* x (- (* -4/3 (pow x 2)) 1))))
(* -1 (* eps (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1)))))
(* -1 (* eps (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1)))))
(* -1 (* eps (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1)))))
x
(+ x (* eps (+ 1 (* 4/3 (pow x 2)))))
(+ x (* eps (+ 1 (* 4/3 (pow x 2)))))
(+ x (* eps (+ 1 (* 4/3 (pow x 2)))))
(* eps (+ 1 (* 4/3 (pow x 2))))
(* eps (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* eps (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* eps (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1)))
(* -1 (* eps (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1)))
(* -1 (* eps (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1)))
(* -1 (* eps (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1)))
eps
(+ eps x)
(+ eps (* x (+ 1 (* 4/3 (* eps x)))))
(+ eps (* x (+ 1 (* 4/3 (* eps x)))))
(* 4/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 4/3 eps) (/ 1 x)))
(* (pow x 2) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
(* (pow x 2) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
(* 4/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 4/3 eps) (/ 1 x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ eps x)) 1) x)) (* 4/3 eps)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ eps x)) 1) x)) (* 4/3 eps)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))
(* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))))
(* -1 (* (pow eps 4) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) eps))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ (* -1 (* x (- (* -4/3 (pow x 2)) 1))) (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps))) eps))))
(+ eps (* 1/3 (pow eps 3)))
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2)))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))
(* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))
(* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 3))) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ eps (pow x 3)) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))))
(* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) x)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))) x)))))
(* eps (pow x 2))
(* eps (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2)))
(* eps (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2)))
(* eps (+ (* eps (+ (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2)))
(* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3)))))))
(* -1 (* (pow eps 4) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) eps))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ (* -1 (* x (- (* -4/3 (pow x 2)) 1))) (/ (pow x 2) eps)) eps))) eps))))
(* 1/3 (pow eps 3))
(+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))
(+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
(* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))
(* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 3))) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
(* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) x)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))) (* -1/3 (/ (pow eps 3) x))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))) x)))))
(pow x 2)
(+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))
(+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(+ (* eps (+ (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3)))))))
(* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2)))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2)))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 3))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1 (* eps (+ 1 (* 2/3 (pow eps 2))))) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))) x)))))
(* eps (* x (+ 1 (* 2/3 (pow eps 2)))))
(* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))
(* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))
(* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) x)))))
(pow x 2)
(+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))
(+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(+ (* eps (+ (* eps (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (* x (+ 2/3 (* 17/9 (pow x 2))))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))
(* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* -1 (* (pow eps 3) (+ (* -4/3 (/ (pow x 2) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (+ (/ 1 (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))))
(* (pow eps 3) (+ 1/3 (+ (/ 1 (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))))
(* (pow eps 3) (+ 1/3 (+ (/ 1 (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))))
(* 1/3 (pow eps 3))
(* -1 (* (pow eps 3) (- (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))) (+ 1/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))) (+ 1/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))) (+ 1/3 (/ 1 (pow eps 2))))))
(+ eps (* 1/3 (pow eps 3)))
(+ eps (+ (* 1/3 (pow eps 3)) (* eps (pow x 2))))
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps)))))))
(+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (* eps (pow (sin x) 2)) (pow (cos x) 2))
(* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))
(* (pow eps 3) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))
(* (pow eps 3) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))
(* 1/3 (pow eps 3))
(* -1 (* (pow eps 3) (- (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))) 1/3)))
(* -1 (* (pow eps 3) (- (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))) 1/3)))
(* -1 (* (pow eps 3) (- (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))) 1/3)))
(* 1/3 (pow eps 3))
(+ (* 1/3 (pow eps 3)) (* eps (pow x 2)))
(+ (* 1/3 (pow eps 3)) (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))
(+ (* 1/3 (pow eps 3)) (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))
(* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (pow x 2))
(+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* 1/3 (pow eps 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))
(* (pow eps 2) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))
(* (pow eps 2) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))
(* (pow eps 2) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))
(* (pow eps 2) (+ 1/3 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (* (pow eps 2) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* -1 (* (pow eps 2) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* 17/9 (* (pow eps 2) x)))))))
(* 13/9 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (* 13/9 (pow eps 2))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 13/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3)))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 13/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3)))))
(* 13/9 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 2)) (* -1/3 (/ (pow eps 2) (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3))) (* -1/3 (/ (pow eps 2) (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3))) (* -1/3 (/ (pow eps 2) (pow x 2)))))))
(* -1/3 x)
(* x (- (* -4/9 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -17/45 (pow x 2)) 4/9)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/945 (pow x 2)) 17/45)) 4/9)) 1/3))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1/3 x)
(* x (- (* -13/9 (pow x 2)) 1/3))
(* x (- (* -13/9 (pow x 2)) 1/3))
(* x (- (* -13/9 (pow x 2)) 1/3))
(* -13/9 (pow x 3))
(* -1 (* (pow x 3) (+ 13/9 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 13/9 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 13/9 (* 1/3 (/ 1 (pow x 2))))))
(* -13/9 (pow x 3))
(* -1 (* (pow x 3) (+ 13/9 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 13/9 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 13/9 (* 1/3 (/ 1 (pow x 2))))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -2/9 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/945 (pow x 2)) 17/135)) 2/9)) 1/3))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (pow eps 2))
(* 4/3 (* eps x))
(* eps (+ (* 4/3 x) (* 17/9 (* (pow eps 2) x))))
(* eps (+ (* 4/3 x) (* 17/9 (* (pow eps 2) x))))
(* eps (+ (* 4/3 x) (* 17/9 (* (pow eps 2) x))))
(* 17/9 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (* 17/9 x)))
(* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (* 17/9 x)))
(* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (* 17/9 x)))
(* 17/9 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -17/9 x) (* -4/3 (/ x (pow eps 2))))))
(* -1 (* (pow eps 3) (+ (* -17/9 x) (* -4/3 (/ x (pow eps 2))))))
(* -1 (* (pow eps 3) (+ (* -17/9 x) (* -4/3 (/ x (pow eps 2))))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
Outputs
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))))))))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -13/9 binary64) (*.f64 x x)) #s(literal -1/3 binary64)))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))))))))))
(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
(*.f64 (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -13/9 binary64) (*.f64 x x)) #s(literal -1/3 binary64)))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) eps) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -13/9 binary64) (*.f64 x x)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps eps)))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 eps eps))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -13/9 binary64) (*.f64 x x)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))))) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) eps) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps eps))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -13/9 binary64) (*.f64 x x)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
(*.f64 (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -13/9 binary64) (*.f64 x x)) #s(literal -1/3 binary64)))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) eps) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -13/9 binary64) (*.f64 x x)) #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -13/9 binary64) (*.f64 x x)) #s(literal -1/3 binary64))))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) eps)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))))) eps)))
(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps))) eps))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) eps)) (-.f64 #s(literal 0 binary64) eps)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (-.f64 #s(literal 0 binary64) eps)) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -13/9 binary64) (*.f64 x x)) #s(literal -1/3 binary64))))))
(+ eps (* 1/3 (pow eps 3)))
(+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps))))
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2)))))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))))))))
(* 13/9 (* (pow eps 4) (pow x 3)))
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 13/9 binary64)) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 4) (pow x 2))) (* 13/9 (pow eps 4))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x x)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 13/9 binary64))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 4) (pow x 2))) (+ (* 13/9 (pow eps 4)) (+ (/ eps (pow x 3)) (/ (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow x 3))))))
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(* (pow x 3) (+ (* 1/3 (/ (pow eps 4) (pow x 2))) (+ (* 13/9 (pow eps 4)) (+ (/ eps (pow x 3)) (/ (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow x 3))))))
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(* 13/9 (* (pow eps 4) (pow x 3)))
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(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 4)) (* -1/3 (/ (pow eps 4) (pow x 2))))))
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(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 4)) (+ (* -1 (/ (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3))) (* -1/3 (/ (pow eps 4) (pow x 2)))))))
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(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 4)) (+ (* -1 (/ (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3))) (* -1/3 (/ (pow eps 4) (pow x 2)))))))
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(/ (* eps (pow (sin x) 2)) (pow (cos x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* eps (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
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(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3)))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* -1 (* (pow eps 4) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
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(* (pow eps 4) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* (pow eps 4) (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (* -1 (/ (+ (* -1 (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))
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(* 1/3 (pow eps 3))
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(* 13/9 (* (pow eps 4) (pow x 3)))
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(* (pow x 3) (+ (* 1/3 (/ (pow eps 4) (pow x 2))) (* 13/9 (pow eps 4))))
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(* (pow x 3) (+ (* 1/3 (/ (pow eps 4) (pow x 2))) (+ (* 13/9 (pow eps 4)) (/ (* eps (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow x 3)))))
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(* 13/9 (* (pow eps 4) (pow x 3)))
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 13/9 binary64)) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 4)) (* -1/3 (/ (pow eps 4) (pow x 2))))))
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(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))
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(* 13/9 (* (pow eps 3) (pow x 3)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 13/9 binary64)) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (* 13/9 (pow eps 3))))
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(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* 13/9 (pow eps 3)) (+ (/ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 3)) (/ (pow (sin x) 2) (* (pow x 3) (pow (cos x) 2)))))))
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(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* 13/9 (pow eps 3)) (+ (/ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 3)) (/ (pow (sin x) 2) (* (pow x 3) (pow (cos x) 2)))))))
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(* 13/9 (* (pow eps 3) (pow x 3)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 13/9 binary64)) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 3)) (* -1/3 (/ (pow eps 3) (pow x 2))))))
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(/ (pow (sin x) 2) (pow (cos x) 2))
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(* -1 (* (pow eps 3) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
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(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
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(* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ (* eps (- (+ 1/3 (+ (* -1 (* eps (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* -1 (* (pow eps 3) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
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(* (pow eps 3) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* (pow eps 3) (- (+ (* -1 (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))))))) (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
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(* -1 (* (pow eps 3) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3)))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)) (+ (* -1/3 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* x (- (* -13/9 (pow x 2)) 1/3))))))
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(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))
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(+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 2/3 (pow eps 2)))))))
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(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))
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(* 13/9 (* (pow eps 3) (pow x 3)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 13/9 binary64)) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (* 13/9 (pow eps 3))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 13/9 binary64))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* 13/9 (pow eps 3)) (/ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 3)))))
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(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* 13/9 (pow eps 3)) (/ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 3)))))
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(* 13/9 (* (pow eps 3) (pow x 3)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 13/9 binary64)) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 3)) (* -1/3 (/ (pow eps 3) (pow x 2))))))
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(* -1 (* (pow x 3) (+ (* -13/9 (pow eps 3)) (+ (* -1 (/ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/3 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 3))) (* -1/3 (/ (pow eps 3) (pow x 2)))))))
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(* 4/3 (* eps x))
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(* 4/3 (* eps x))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps x))
(* 4/3 (* eps x))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps x))
(* 4/3 (* eps x))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps x))
(* 4/3 (* eps x))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps x))
(* 4/3 (* eps x))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps x))
(* 4/3 (* eps x))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps x))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))
(* 4/3 (* eps x))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps x))
(* eps (+ (* 4/3 x) (* 17/9 (* (pow eps 2) x))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (+ (* 4/3 x) (* 17/9 (* (pow eps 2) x))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (+ (* 4/3 x) (* 17/9 (* (pow eps 2) x))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* 17/9 (* (pow eps 3) x))
(*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))
(* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (* 17/9 x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 x (*.f64 eps eps))) (*.f64 x #s(literal 17/9 binary64))))
(* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (* 17/9 x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 x (*.f64 eps eps))) (*.f64 x #s(literal 17/9 binary64))))
(* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (* 17/9 x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 x (*.f64 eps eps))) (*.f64 x #s(literal 17/9 binary64))))
(* 17/9 (* (pow eps 3) x))
(*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -17/9 x) (* -4/3 (/ x (pow eps 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x #s(literal -17/9 binary64)) (*.f64 #s(literal -4/3 binary64) (/.f64 x (*.f64 eps eps))))))
(* -1 (* (pow eps 3) (+ (* -17/9 x) (* -4/3 (/ x (pow eps 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x #s(literal -17/9 binary64)) (*.f64 #s(literal -4/3 binary64) (/.f64 x (*.f64 eps eps))))))
(* -1 (* (pow eps 3) (+ (* -17/9 x) (* -4/3 (/ x (pow eps 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x #s(literal -17/9 binary64)) (*.f64 #s(literal -4/3 binary64) (/.f64 x (*.f64 eps eps))))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))

eval420.0ms (1.1%)

Compiler

Compiled 53450 to 3731 computations (93% saved)

prune346.0ms (0.9%)

Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New107581083
Fresh6915
Picked235
Done033
Total1083231106
Accuracy
100.0%
Counts
1106 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓60.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
51.4%
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))) (-.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))))))
60.5%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
59.8%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
✓60.4%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.8%
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64)))))))
99.6%
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))) eps)
100.0%
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -13/9 binary64)) #s(literal -1/3 binary64))) (*.f64 x #s(literal -1/3 binary64)))))))))) eps)
99.9%
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps #s(literal 1/3 binary64)))))) eps)
✓99.4%
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
98.9%
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
98.8%
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
98.8%
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
97.1%
(+.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4/3 binary64)) (/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -4/3 binary64)) #s(literal -1 binary64))) eps))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))) eps)
98.8%
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
98.2%
(+.f64 eps (*.f64 x (*.f64 eps eps)))
99.8%
(*.f64 eps (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
98.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
✓98.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))
98.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))))))
98.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))))
✓98.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓98.2%
eps
Compiler

Compiled 2255 to 693 computations (69.3% saved)

regimes83.0ms (0.2%)

Counts
54 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))) eps)
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) (/.f64 x eps))) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64)))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4/3 binary64)) (/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -4/3 binary64)) #s(literal -1 binary64))) eps))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64)))))))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))))))))) eps)
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(-.f64 (tan.f64 (+.f64 x eps)) x)
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(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
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(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps)
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -13/9 binary64)) #s(literal -1/3 binary64))) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps)
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64)))))))))) eps)
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
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Outputs
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -13/9 binary64)) #s(literal -1/3 binary64))) (*.f64 x #s(literal -1/3 binary64)))))))))) eps)
Calls

3 calls:

23.0ms
eps
20.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
20.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes74.0ms (0.2%)

Counts
44 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
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(+.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4/3 binary64)) (/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -4/3 binary64)) #s(literal -1 binary64))) eps))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64)))))))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))))))))) eps)
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))) (-.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))) eps)
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(*.f64 eps (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps #s(literal 1/3 binary64)))))) eps)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Outputs
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps #s(literal 1/3 binary64)))))) eps)
Calls

3 calls:

20.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
17.0ms
eps
17.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes61.0ms (0.2%)

Counts
37 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))) eps)
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) (/.f64 x eps))) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64)))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4/3 binary64)) (/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -4/3 binary64)) #s(literal -1 binary64))) eps))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64)))))))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))))))))) eps)
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))) (-.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))) eps)
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(*.f64 eps (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
Outputs
(*.f64 eps (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
Calls

3 calls:

15.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms
eps
14.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes55.0ms (0.1%)

Counts
36 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))) eps)
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) (/.f64 x eps))) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64)))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4/3 binary64)) (/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -4/3 binary64)) #s(literal -1 binary64))) eps))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64)))))))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))))))))) eps)
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))) (-.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))) eps)
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Outputs
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))) eps)
Calls

3 calls:

14.0ms
eps
14.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1eps
99.6%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes54.0ms (0.1%)

Counts
31 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))) eps)
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) (/.f64 x eps))) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64)))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4/3 binary64)) (/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -4/3 binary64)) #s(literal -1 binary64))) eps))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64)))))))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))))))))) eps)
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))) (-.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
Outputs
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
Calls

3 calls:

17.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
12.0ms
x
12.0ms
eps
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
99.4%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes46.0ms (0.1%)

Counts
30 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))) eps)
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) (/.f64 x eps))) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64)))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4/3 binary64)) (/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -4/3 binary64)) #s(literal -1 binary64))) eps))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64)))))))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 17/9 binary64))))))))))) eps)
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))) (-.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
Calls

3 calls:

16.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
12.0ms
x
12.0ms
eps
Results
AccuracySegmentsBranch
98.9%1x
98.9%1eps
98.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))) eps)
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) (/.f64 x eps))) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64)))))))
Outputs
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64)))))))
Calls

2 calls:

8.0ms
eps
8.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
98.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))) eps)
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal -2/3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) (/.f64 x eps))) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))))))
Outputs
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
Calls

2 calls:

11.0ms
eps
8.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
98.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0%)

Counts
14 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))) eps)
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64)))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
Calls

2 calls:

7.0ms
eps
7.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
98.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))))))
Outputs
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
Calls

2 calls:

4.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
98.8%1eps
98.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
98.7%1eps
98.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
eps
Outputs
eps
Calls

2 calls:

6.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
98.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify48.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
108×*-commutative_binary64
102×+-commutative_binary64
30×sub-neg_binary64
26×neg-sub0_binary64
26×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096260
1186260
2207260
3223260
4247260
5260260
6276260
7286260
8291260
9293260
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -13/9 binary64)) #s(literal -1/3 binary64))) (*.f64 x #s(literal -1/3 binary64)))))))))) eps)
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps #s(literal 1/3 binary64)))))) eps)
(*.f64 eps (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))) eps)
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64)))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
eps
Outputs
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -13/9 binary64)) #s(literal -1/3 binary64))) (*.f64 x #s(literal -1/3 binary64)))))))))) eps)
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -13/9 binary64)))) (*.f64 x #s(literal -1/3 binary64)))))))))))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps #s(literal 1/3 binary64)))))) eps)
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (*.f64 eps #s(literal 1/3 binary64)))))))
(*.f64 eps (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))) eps)
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))))))
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64)))))))
(+.f64 (+.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 17/45 binary64) (*.f64 eps (*.f64 x x))) (*.f64 eps #s(literal 2/3 binary64)))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) eps)
(+.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps x)))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
eps

soundness6.2s (15.9%)

Rules
6500×+-lowering-+.f64
6500×+-lowering-+.f32
5886×+-lowering-+.f64
5886×+-lowering-+.f32
5514×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109433694
1416532306
0894332306
068958
1537489
26863489
08470489
062603
1506491
25974486
08371486
0616
14616
241916
3655516
0850716
084113017
1318112755
0819312755
01571381
14941286
218911261
377211261
085671261
076216746
1270616164
0873716164
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 665 to 335 computations (49.6% saved)

preprocess196.0ms (0.5%)

Compiler

Compiled 566 to 218 computations (61.5% saved)

end0.0ms (0%)

Profiling

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