2tan (problem 3.3.2)

Time bar (total: 19.0s)

analyze67.0ms (0.4%)

Memory
-28.4MiB live, 51.1MiB allocated
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%49.4%0%25.3%0%3
0%0%25.3%49.4%0%25.3%0%4
0%0%19%49.4%0%31.6%0%5
0%0%15.8%49.4%0%34.8%0%6
0%0%11.1%49.4%0%39.5%0%7
0%0%8.7%49.4%0%41.9%0%8
0%0%5.9%49.4%0%44.6%0%9
0%0%4.5%49.4%0%46%0%10
0%0%3.1%49.4%0%47.5%0%11
0%0%2.7%49.4%0%47.9%0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.2s (32.6%)

Memory
117.9MiB live, 9 040.7MiB allocated
Samples
3.2s26 117×0invalid
840.0ms4 478×1valid
458.0ms3 778×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.1s
ival-tan: 689.0ms (22.1% of total)
const: 638.0ms (20.5% of total)
ival-fabs: 286.0ms (9.2% of total)
ival-mult: 285.0ms (9.2% of total)
ival-<=: 270.0ms (8.7% of total)
ival-add: 246.0ms (7.9% of total)
ival-<: 225.0ms (7.2% of total)
ival-sub: 195.0ms (6.3% of total)
adjust: 115.0ms (3.7% of total)
ival-and: 106.0ms (3.4% of total)
exact: 44.0ms (1.4% of total)
ival-assert: 12.0ms (0.4% of total)
Bogosity

preprocess26.0ms (0.1%)

Memory
-3.5MiB live, 34.9MiB allocated
Algorithm
2×egg-herbie
Rules
114×sub-neg
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
76×cancel-sign-sub-inv
62×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02146
14342
29242
318142
432142
539842
648342
752542
853442
067
197
2147
3207
4287
5437
6767
71017
81447
91597
101677
01677
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))

explain93.0ms (0.5%)

Memory
6.3MiB live, 166.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2261(3.192152945020566e-29 3.7730803252605763e-32)1(3.258346941814887e-131 3.5980737797046116e-133)(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10-1(-11.03841561492585 9.157860902984313e-14)(tan.f64 (+.f64 x eps))
00-0-eps
00-0-(+.f64 x eps)
00-0-(tan.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))cancellation2264
Confusion
Predicted +Predicted -
+2251
-129
Precision
0.995575221238938
Recall
0.995575221238938
Confusion?
Predicted +Predicted MaybePredicted -
+22510
-1326
Precision?
0.9826086956521739
Recall?
1.0
Freqs
test
numberfreq
030
1226
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms294×1valid
10.0ms218×0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-tan: 11.0ms (47.7% of total)
adjust: 4.0ms (17.3% of total)
ival-add: 4.0ms (17.3% of total)
ival-sub: 3.0ms (13% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.4%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify12.0ms (0.1%)

Memory
-23.3MiB live, 14.8MiB allocated
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
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
36×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
1918
21418
32018
42818
54318
67618
710118
814418
915918
1016718
016718
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)

localize32.0ms (0.2%)

Memory
-0.5MiB live, 47.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(tan.f64 x)
✓accuracy99.9%
(tan.f64 (+.f64 x eps))
✓accuracy61.5%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Samples
14.0ms147×1valid
10.0ms109×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-tan: 5.0ms (46.3% of total)
adjust: 2.0ms (18.5% of total)
ival-add: 2.0ms (18.5% of total)
ival-sub: 2.0ms (18.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated
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
2.0ms
eps
@0
(- (tan (+ x eps)) (tan x))
2.0ms
eps
@inf
(- (tan (+ x eps)) (tan x))
1.0ms
x
@0
(- (tan (+ x eps)) (tan x))
1.0ms
x
@inf
(- (tan (+ x eps)) (tan x))
1.0ms
x
@-inf
(- (tan (+ x eps)) (tan x))

rewrite344.0ms (1.8%)

Memory
14.9MiB live, 513.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 404×*-lowering-*.f32
4 404×*-lowering-*.f64
3 318×/-lowering-/.f32
3 318×/-lowering-/.f64
3 264×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
14616
239816
3612316
0810116
Stop Event
1×iter limit
1×node limit
Counts
4 → 259
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 #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)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(-.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 (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 (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 x) #s(literal -1 binary64) (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(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)))
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(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 eps eps)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 x x))) (neg.f64 (-.f64 eps x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 1 binary64)) (-.f64 x eps))
(/.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))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps x) (-.f64 (*.f64 eps eps) (*.f64 x x))) #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 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 eps 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))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -1 binary64)))
(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))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) #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))

simplify549.0ms (2.9%)

Memory
13.4MiB live, 764.2MiB allocated
Algorithm
1×egg-herbie
Rules
14 592×accelerator-lowering-fma.f32
14 592×accelerator-lowering-fma.f64
5 316×*-lowering-*.f32
5 316×*-lowering-*.f64
2 664×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01571351
14641285
215341274
359491242
085341195
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 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 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)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (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))))))) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)))))))
(- (/ (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 (+.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 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)))))
(*.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 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(* 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) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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))))))
(- (/ (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 (+.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) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 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)))
(+.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) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (*.f64 x (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 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 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 #s(literal 1/6 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 (+.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 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)))
(+.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 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 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 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 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.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 x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 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 (*.f64 x 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 x (*.f64 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))

eval38.0ms (0.2%)

Memory
10.0MiB live, 87.3MiB allocated
Compiler

Compiled 9 035 to 1 031 computations (88.6% saved)

prune57.0ms (0.3%)

Memory
-7.3MiB live, 151.1MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New32122343
Fresh000
Picked011
Done000
Total32123344
Accuracy
100.0%
Counts
344 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.3%
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (+.f64 x eps) x))) (*.f64 (cos.f64 x) (cos.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)))))
▶61.4%
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
61.4%
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
▶25.0%
(/.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)))))
37.4%
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
24.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
61.4%
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
98.1%
(/.f64 (sin.f64 eps) (cos.f64 eps))
61.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
19.1%
(-.f64 (tan.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (+.f64 (*.f64 x x) (*.f64 eps eps))))) (tan.f64 x))
▶60.7%
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) (tan.f64 x))
60.8%
(-.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) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
60.7%
(-.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)))))))
60.6%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
✓61.4%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶60.0%
(-.f64 (tan.f64 (+.f64 x eps)) x)
98.8%
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps))))))
61.4%
(*.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
99.7%
(*.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
99.8%
(*.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 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
99.3%
(*.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)))))
▶99.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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))))))
60.6%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
Compiler

Compiled 1 385 to 656 computations (52.6% saved)

simplify627.0ms (3.3%)

Memory
-38.2MiB live, 1 015.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
✓cost-diff0
(-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
✓cost-diff0
(/.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)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff0
(sin.f64 x)
✓cost-diff64
(neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)))
✓cost-diff6400
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x eps))
✓cost-diff0
(tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps))))
✓cost-diff0
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) (tan.f64 x))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (tan.f64 (+.f64 x eps)) x)
✓cost-diff128
(+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓cost-diff6528
(*.f64 eps (+.f64 (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
✓cost-diff26112
(+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓cost-diff71424
(+.f64 (*.f64 eps (+.f64 (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
Rules
18 936×accelerator-lowering-fma.f32
18 936×accelerator-lowering-fma.f64
7 260×+-lowering-+.f64
7 260×+-lowering-+.f32
3 780×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621643
11661365
24941153
317701150
083741109
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* eps (+ 1 (+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
eps
(+ 1 (+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))))))
(+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(sin x)
x
(/ (pow (sin x) 3) (pow (cos x) 2))
(pow (sin x) 3)
3
(pow (cos x) 2)
(cos x)
2
(* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))))
(+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))
(* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x)))
(- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))
(/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2))
(+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2)))
(pow (sin x) 2)
(/ (pow (sin x) 4) (pow (cos x) 2))
(pow (sin x) 4)
4
(+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))))
1/6
(+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))
(+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)))
-1/2
(/ (* -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))
(* 1/6 (pow (sin x) 2))
(/ (sin x) (cos x))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
1/3
(/ (pow (sin x) 2) (pow (cos x) 2))
(- (tan (+ x eps)) x)
(tan (+ x eps))
(+ x eps)
x
eps
(- (tan (/ 1 (/ 1 (+ x eps)))) (tan x))
(tan (/ 1 (/ 1 (+ x eps))))
(/ 1 (/ 1 (+ x eps)))
1
(/ 1 (+ x eps))
(+ x eps)
x
eps
(tan x)
(+ (* (sin x) (neg (/ 1 (cos x)))) (tan (+ x eps)))
(sin x)
x
(neg (/ 1 (cos x)))
(/ 1 (cos x))
1
(cos x)
(tan (+ x eps))
(+ x eps)
eps
(/ (- (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)) 3) (pow (tan x) 3))
(pow (tan (+ x eps)) 3)
(tan (+ x eps))
(+ x eps)
x
eps
3
(pow (tan x) 3)
(tan x)
(+ (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))
Outputs
(* eps (+ 1 (+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (/.f64 eps (cos.f64 x))) (*.f64 (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.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))))))
eps
(+ 1 (+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
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1
#s(literal 1 binary64)
(+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (/.f64 eps (cos.f64 x))) (*.f64 (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 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))))
(* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))))))
(*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (/.f64 eps (cos.f64 x))) (*.f64 (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #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 x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))
(+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (/.f64 eps (cos.f64 x))) (*.f64 (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #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 x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(sin x)
(sin.f64 x)
x
(/ (pow (sin x) 3) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos x)
(cos.f64 x)
2
#s(literal 2 binary64)
(* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))))
(*.f64 eps (+.f64 (*.f64 (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (/.f64 eps (cos.f64 x))) (*.f64 (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))
(+.f64 (*.f64 (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (/.f64 eps (cos.f64 x))) (*.f64 (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(*.f64 (/.f64 eps (cos.f64 x)) (+.f64 (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (*.f64 (sin.f64 x) (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 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 (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(+.f64 (/.f64 (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 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 x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x)))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 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 x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))
(+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 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 (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2)))
(+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/ (pow (sin x) 4) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 4)
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
4
#s(literal 4 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))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 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)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)))
(+.f64 #s(literal -1/2 binary64) (/.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
#s(literal -1/2 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))
(/.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))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(/.f64 (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (cos.f64 x))
1/3
#s(literal 1/3 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)))
(- (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
(- (tan (/ 1 (/ 1 (+ x eps)))) (tan x))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(tan (/ 1 (/ 1 (+ x eps))))
(tan.f64 (+.f64 eps x))
(/ 1 (/ 1 (+ x eps)))
(+.f64 eps x)
1
#s(literal 1 binary64)
(/ 1 (+ x eps))
(/.f64 #s(literal 1 binary64) (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(tan x)
(tan.f64 x)
(+ (* (sin x) (neg (/ 1 (cos x)))) (tan (+ x eps)))
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(sin x)
(sin.f64 x)
x
(neg (/ 1 (cos x)))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
eps
(/ (- (pow (tan (+ x eps)) 3) (pow (tan x) 3)) (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.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)) 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))
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
3
#s(literal 3 binary64)
(pow (tan x) 3)
(pow.f64 (tan.f64 x) #s(literal 3 binary64))
(tan x)
(tan.f64 x)
(+ (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))

localize673.0ms (3.5%)

Memory
23.4MiB live, 445.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))
✓accuracy99.6%
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓accuracy85.9%
(-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
✓accuracy40.9%
(/.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)))))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy99.9%
(tan.f64 (+.f64 x eps))
✓accuracy61.4%
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
✓accuracy99.9%
(tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 x eps))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))
✓accuracy61.5%
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) (tan.f64 x))
✓accuracy100.0%
(+.f64 x eps)
✓accuracy99.9%
(tan.f64 (+.f64 x eps))
✓accuracy62.0%
(-.f64 (tan.f64 (+.f64 x eps)) x)
✓accuracy99.5%
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
✓accuracy99.4%
(*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))
✓accuracy98.5%
(+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
Samples
289.0ms150×1valid
48.0ms105×0valid
12.0ms1×5exit
Compiler

Compiled 1 658 to 64 computations (96.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 300.0ms
ival-pow: 119.0ms (39.7% of total)
ival-div: 61.0ms (20.3% of total)
ival-add: 31.0ms (10.3% of total)
ival-mult: 22.0ms (7.3% of total)
ival-tan: 17.0ms (5.7% of total)
adjust: 13.0ms (4.3% of total)
ival-pow2: 11.0ms (3.7% of total)
const: 9.0ms (3% of total)
ival-sub: 7.0ms (2.3% of total)
ival-sin: 4.0ms (1.3% of total)
ival-cos: 3.0ms (1% of total)
ival-neg: 2.0ms (0.7% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series170.0ms (0.9%)

Memory
6.1MiB live, 208.5MiB allocated
Counts
24 → 480
Calls
Call 1
Inputs
#<alt (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))>
#<alt (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))>
#<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))))>
#<alt (- (tan (+ x eps)) x)>
#<alt (tan (+ x eps))>
#<alt (+ x eps)>
#<alt (/ 1 (/ 1 (+ x eps)))>
#<alt (- (tan (/ 1 (/ 1 (+ x eps)))) (tan x))>
#<alt (tan (/ 1 (/ 1 (+ x eps))))>
#<alt (/ 1 (+ x eps))>
#<alt (+ (* (sin x) (neg (/ 1 (cos x)))) (tan (+ x eps)))>
#<alt (neg (/ 1 (cos x)))>
#<alt (sin x)>
#<alt (/ 1 (cos x))>
#<alt (/ (- (pow (tan (+ x eps)) 3) (pow (tan x) 3)) (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))))>
#<alt (- (pow (tan (+ x eps)) 3) (pow (tan x) 3))>
#<alt (pow (tan (+ x eps)) 3)>
#<alt (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))>
#<alt (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x)))>
#<alt (* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))))>
#<alt (cos x)>
#<alt (+ (tan (+ x eps)) (tan x))>
#<alt (pow (tan (+ x eps)) 2)>
Outputs
#<alt (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))>
#<alt (* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))>
#<alt (* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 2/3 (* eps x)))>
#<alt (+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))>
#<alt (+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* 17/9 (* eps x)))))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt -1/2>
#<alt (- (* -1/3 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
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#<alt (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* x (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 2 (/ (* 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 (- (+ 2 (* x (- (* 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 x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))>
#<alt (* 2 (/ (sin x) (cos x)))>
#<alt (+ (* 2 (/ (sin x) (cos x))) (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (+ (* 2 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<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 (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))>
#<alt (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))>
#<alt (/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))>
#<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

120 calls:

TimeVariablePointExpression
31.0ms
x
@inf
(/ (- (pow (tan (+ x eps)) 3) (pow (tan x) 3)) (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))))
25.0ms
x
@-inf
(+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))
24.0ms
eps
@0
(/ (- (pow (tan (+ x eps)) 3) (pow (tan x) 3)) (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))))
11.0ms
x
@inf
(+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))
5.0ms
x
@0
(/ (- (pow (tan (+ x eps)) 3) (pow (tan x) 3)) (+ (pow (tan (+ x eps)) 2) (* (tan x) (+ (tan (+ x eps)) (tan x)))))

rewrite593.0ms (3.1%)

Memory
18.2MiB live, 920.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 186×*-lowering-*.f32
5 186×*-lowering-*.f64
4 848×accelerator-lowering-fma.f32
4 848×accelerator-lowering-fma.f64
2 500×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056515
1425357
24354345
08400335
Stop Event
1×iter limit
1×node limit
Counts
24 → 883
Calls
Call 1
Inputs
(+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))
(+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))
(* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos 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))))
(- (tan (+ x eps)) x)
(tan (+ x eps))
(+ x eps)
(/ 1 (/ 1 (+ x eps)))
(- (tan (/ 1 (/ 1 (+ x eps)))) (tan x))
(tan (/ 1 (/ 1 (+ x eps))))
(/ 1 (+ x eps))
(+ (* (sin x) (neg (/ 1 (cos x)))) (tan (+ x eps)))
(neg (/ 1 (cos x)))
(sin x)
(/ 1 (cos 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)) 3) (pow (tan x) 3))
(pow (tan (+ x eps)) 3)
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x)))
(* eps (+ (* eps (+ (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))) (/ (sin x) (cos x))) (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))))
(cos x)
(+ (tan (+ x eps)) (tan x))
(pow (tan (+ x eps)) 2)
Outputs
(+.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) (*.f64 eps (+.f64 (*.f64 (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) (tan.f64 x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))))
(+.f64 (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) (*.f64 eps (+.f64 (*.f64 (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) (tan.f64 x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
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(pow.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (+.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 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 (+.f64 eps x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 (+.f64 eps x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 (+.f64 eps x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 eps x))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64)) (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))))
(/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sin.f64 (+.f64 eps x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 (+.f64 eps x))))
(/.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))
(/.f64 (*.f64 (tan.f64 (+.f64 eps x)) (sin.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 (sin.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(/.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))))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 eps x)))) (exp.f64 (log.f64 (tan.f64 (+.f64 eps x)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 eps x)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 eps x)))) #s(literal 1 binary64)))

simplify774.0ms (4.1%)

Memory
28.0MiB live, 1 232.5MiB allocated
Algorithm
1×egg-herbie
Rules
11 410×accelerator-lowering-fma.f32
11 410×accelerator-lowering-fma.f64
6 916×*-lowering-*.f32
6 916×*-lowering-*.f64
5 934×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084020664
1270819735
0819719182
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
(- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -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) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
(* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
(* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))
(+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* 17/9 (* eps x)))))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
-1/2
(- (* -1/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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)))) 1/2)
(* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
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(* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
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(/ (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))
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(/ (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))
(* 1/3 x)
(* x (+ 1/3 (* 4/9 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 4/9 (* 17/45 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 17/45 (* 248/945 (pow x 2))))))))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
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(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* 1/3 x)
(* x (+ 1/3 (* 13/9 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 13/9 (* 107/45 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 13/9 (* (pow x 2) (+ 107/45 (* 2516/945 (pow x 2))))))))
(/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))
(/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))
(/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))
(/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))
(/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))
(/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))
(/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))
(/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))
(* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 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)
(/ (sin eps) (cos eps))
(+ (* x (- 2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 2 (/ (* 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 (- (+ 2 (* x (- (* 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 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 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)))))
(* 2 (/ (sin x) (cos x)))
(+ (* 2 (/ (sin x) (cos x))) (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+ (* 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))))))
(+ (* 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 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)))))
(/ (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
(- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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)))))) (cos.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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)))))) (cos.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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)))))) (cos.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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)))))) (cos.f64 x))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(*.f64 eps (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 #s(literal 1/3 binary64) eps)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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)))))) (cos.f64 x))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)) #s(literal 1/3 binary64))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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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(* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* (pow eps 2) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
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(* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
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(* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -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 #s(literal 1/3 binary64) eps)
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(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
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(+.f64 (*.f64 eps (+.f64 (/.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 (sin.f64 x) eps)) (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 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (cos.f64 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))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (+.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 #s(literal -1/2 binary64) (/.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 (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 #s(literal 0 binary64) eps)) (/.f64 (*.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (cos.f64 x)))
(+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(+ (/ (sin x) (cos x)) (/ (sin (+ eps x)) (cos (+ eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(+ (/ (sin x) (cos x)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(/ (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 (*.f64 #s(literal 2 binary64) x) (*.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)))
(+ (* 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 (*.f64 #s(literal 2 binary64) (*.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 (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 (*.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 (*.f64 #s(literal -2 binary64) (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 -1/2 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)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.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 (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (- eps (* -1 x))) 2) (pow (cos (- eps (* -1 x))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #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 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps (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) (sin.f64 x)) (/.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)))) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (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) (sin.f64 x)) (/.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)))) (cos.f64 x))) (*.f64 eps (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (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) (+.f64 #s(literal 1/6 binary64) (-.f64 (+.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 #s(literal -1/2 binary64) (/.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 (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 (*.f64 (*.f64 #s(literal 2 binary64) (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)))))))))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (+ eps x)) 2) (pow (cos (+ eps x)) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/ (pow (sin (- x (* -1 eps))) 2) (pow (cos (- x (* -1 eps))) 2))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))

eval822.0ms (4.3%)

Memory
32.1MiB live, 761.7MiB allocated
Compiler

Compiled 228 103 to 11 164 computations (95.1% saved)

prune384.0ms (2%)

Memory
-19.1MiB live, 706.4MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New2 680142 694
Fresh51217
Picked325
Done011
Total2 688292 717
Accuracy
100.0%
Counts
2 717 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶60.7%
(fma.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (+.f64 x eps)))
60.7%
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))))
61.4%
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
15.7%
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 3/2 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)))))
37.4%
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
25.1%
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
61.4%
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
98.1%
(/.f64 (sin.f64 eps) (cos.f64 eps))
61.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓60.7%
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) (tan.f64 x))
59.3%
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))) x)
22.1%
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (+.f64 (/.f64 eps (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) (tan.f64 x))
▶60.8%
(-.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) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
60.7%
(-.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)))))))
60.6%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
✓61.4%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓60.0%
(-.f64 (tan.f64 (+.f64 x eps)) x)
5.5%
(-.f64 (tan.f64 x) x)
7.6%
(-.f64 #s(literal 0 binary64) x)
98.8%
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps))))))
61.4%
(*.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
▶99.7%
(*.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
99.3%
(*.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)))))
99.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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))) (/.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) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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))))))
99.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 x (*.f64 eps #s(literal 2/3 binary64))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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))))))
99.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.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))))))
60.6%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
▶5.2%
#s(literal 0 binary64)
Compiler

Compiled 1 520 to 818 computations (46.2% saved)

simplify581.0ms (3.1%)

Memory
-41.8MiB live, 900.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(+.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 (+.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
✓cost-diff0
(*.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
✓cost-diff0
(sin.f64 x)
✓cost-diff6272
(fma.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (+.f64 x eps)))
✓cost-diff0
(*.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 x (*.f64 x #s(literal 17/315 binary64)))))))))
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(-.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
✓cost-diff0
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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))))))
✓cost-diff128
(+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓cost-diff128
(+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))
✓cost-diff26112
(+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
Rules
22 574×accelerator-lowering-fma.f32
22 574×accelerator-lowering-fma.f64
6 592×+-lowering-+.f64
6 592×+-lowering-+.f32
4 086×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721235
12101097
26961075
325141075
082661014
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* eps (+ 1 (+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
eps
(+ 1 (+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))))))
(+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(sin x)
x
(/ (pow (sin x) 3) (pow (cos x) 2))
(pow (sin x) 3)
3
(pow (cos x) 2)
(cos x)
2
(* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))))
(+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))
(* x (+ (* eps 2/3) (* 17/9 (* x (* x eps)))))
(+ (* eps 2/3) (* 17/9 (* x (* x eps))))
(* eps 2/3)
2/3
(* 17/9 (* x (* x eps)))
17/9
(* x (* x eps))
(* x eps)
(- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))
(/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2))
(+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2)))
(pow (sin x) 2)
(/ (pow (sin x) 4) (pow (cos x) 2))
(pow (sin x) 4)
4
(+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))))
1/6
(+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))
(+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)))
-1/2
(/ (* -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))
(* 1/6 (pow (sin x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
0
(- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))))
(tan (+ x eps))
(+ x eps)
x
eps
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))
1
(* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))
(* x x)
(+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))
1/3
(* (* x x) (+ 2/15 (* x (* x 17/315))))
(+ 2/15 (* x (* x 17/315)))
2/15
(* x (* x 17/315))
(* x 17/315)
17/315
(+ (* (sin x) (+ (* (* x x) (+ (* (* x x) -5/24) -1/2)) -1)) (tan (+ x eps)))
(sin x)
x
(+ (* (* x x) (+ (* (* x x) -5/24) -1/2)) -1)
(* (* x x) (+ (* (* x x) -5/24) -1/2))
(* x x)
(+ (* (* x x) -5/24) -1/2)
(* (* x x) -5/24)
-5/24
-1/2
-1
(tan (+ x eps))
(+ x eps)
eps
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(sin x)
x
2
(pow (cos x) 2)
(cos x)
(* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(/ (pow (sin x) 3) (pow (cos x) 2))
(pow (sin x) 3)
3
Outputs
(* eps (+ 1 (+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64)))))) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.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))))))
eps
(+ 1 (+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64)))))) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.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)))))
1
#s(literal 1 binary64)
(+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64)))))) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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))))
(* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))))))
(*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64)))))) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))
(+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64)))))) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(sin x)
(sin.f64 x)
x
(/ (pow (sin x) 3) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos x)
(cos.f64 x)
2
#s(literal 2 binary64)
(* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))))
(*.f64 eps (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64)))))) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))
(+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64)))))) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(* x (+ (* eps 2/3) (* 17/9 (* x (* x eps)))))
(*.f64 x (*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64))))))
(+ (* eps 2/3) (* 17/9 (* x (* x eps))))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64)))))
(* eps 2/3)
(*.f64 eps #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
(* 17/9 (* x (* x eps)))
(*.f64 eps (*.f64 x (*.f64 x #s(literal 17/9 binary64))))
17/9
#s(literal 17/9 binary64)
(* x (* x eps))
(*.f64 eps (*.f64 x x))
(* x eps)
(*.f64 eps x)
(- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))
(+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2)))
(+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/ (pow (sin x) 4) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 4)
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
4
#s(literal 4 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))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 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)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)))
(+.f64 #s(literal -1/2 binary64) (/.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
#s(literal -1/2 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))
(/.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))
(/ (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)))
0
#s(literal 0 binary64)
(- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))))))))
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))
(* x x)
(*.f64 x x)
(+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ 2/15 (* x (* x 17/315))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))
(+ 2/15 (* x (* x 17/315)))
(+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))
2/15
#s(literal 2/15 binary64)
(* x (* x 17/315))
(*.f64 x (*.f64 x #s(literal 17/315 binary64)))
(* x 17/315)
(*.f64 x #s(literal 17/315 binary64))
17/315
#s(literal 17/315 binary64)
(+ (* (sin x) (+ (* (* x x) (+ (* (* x x) -5/24) -1/2)) -1)) (tan (+ x eps)))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -5/24 binary64))))) #s(literal -1 binary64))))
(sin x)
(sin.f64 x)
x
(+ (* (* x x) (+ (* (* x x) -5/24) -1/2)) -1)
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -5/24 binary64))))) #s(literal -1 binary64))
(* (* x x) (+ (* (* x x) -5/24) -1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -5/24 binary64)))))
(* x x)
(*.f64 x x)
(+ (* (* x x) -5/24) -1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -5/24 binary64))))
(* (* x x) -5/24)
(*.f64 x (*.f64 x #s(literal -5/24 binary64)))
-5/24
#s(literal -5/24 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
eps
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(*.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x))))))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(+.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (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))))
1
#s(literal 1 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))
(sin x)
(sin.f64 x)
x
2
#s(literal 2 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos x)
(cos.f64 x)
(* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (pow (sin x) 3) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize393.0ms (2.1%)

Memory
29.1MiB live, 530.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
✓accuracy100.0%
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
✓accuracy100.0%
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64)))
✓accuracy99.9%
(tan.f64 (+.f64 x eps))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
✓accuracy61.8%
(fma.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (+.f64 x eps)))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))
✓accuracy99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))))
✓accuracy99.5%
(*.f64 x #s(literal 17/315 binary64))
✓accuracy61.9%
(-.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
✓accuracy99.6%
(*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
✓accuracy99.5%
(*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
✓accuracy99.5%
(*.f64 eps #s(literal 2/3 binary64))
✓accuracy98.5%
(+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
Samples
157.0ms151×1valid
59.0ms105×0valid
Compiler

Compiled 1 236 to 74 computations (94% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-mult: 43.0ms (25.7% of total)
const: 30.0ms (17.9% of total)
ival-add: 30.0ms (17.9% of total)
ival-div: 16.0ms (9.6% of total)
adjust: 14.0ms (8.4% of total)
ival-pow: 12.0ms (7.2% of total)
ival-pow2: 7.0ms (4.2% of total)
ival-sin: 4.0ms (2.4% of total)
ival-sub: 3.0ms (1.8% of total)
ival-tan: 3.0ms (1.8% of total)
ival-cos: 3.0ms (1.8% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (0.3%)

Memory
-14.6MiB live, 74.9MiB allocated
Counts
26 → 420
Calls
Call 1
Inputs
#<alt (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (+ (* eps 2/3) (* 17/9 (* x (* x eps))))>
#<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))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))))>
#<alt (tan (+ x eps))>
#<alt (+ x eps)>
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))))>
#<alt (+ (* (sin x) (+ (* (* x x) (+ (* (* x x) -5/24) -1/2)) -1)) (tan (+ x eps)))>
#<alt (sin x)>
#<alt (+ (* (* x x) (+ (* (* x x) -5/24) -1/2)) -1)>
#<alt (* (* x x) (+ (* (* x x) -5/24) -1/2))>
#<alt (* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))>
#<alt (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (* eps 2/3)>
#<alt (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* x 17/315)>
#<alt (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))>
#<alt (* (* x x) (+ 2/15 (* x (* x 17/315))))>
#<alt (* (* x x) -5/24)>
#<alt (pow (sin x) 3)>
#<alt (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))>
#<alt (pow (cos x) 2)>
Outputs
#<alt -1/2>
#<alt (- (* -1/3 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))>
#<alt (* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))>
#<alt (* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))>
#<alt (* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))>
#<alt (* 2/3 eps)>
#<alt (+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))>
#<alt (+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))>
#<alt (+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))>
#<alt (* 17/9 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))>
#<alt (* 17/9 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))>
#<alt -1/3>
#<alt (- (* -1/3 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<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) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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 (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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 (* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin 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))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* -1 (* (pow eps 4) (* x (- (* -17/9 (pow x 2)) 2/3))))>
#<alt (* (pow eps 4) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -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) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps))) eps))))>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (* 17/9 (* (pow eps 4) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (* 17/9 (pow eps 4))))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (+ (* 17/9 (pow eps 4)) (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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)))))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (+ (* 17/9 (pow eps 4)) (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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)))))>
#<alt (* 17/9 (* (pow eps 4) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (* -2/3 (/ (pow eps 4) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (+ (* -1 (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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))) (* -2/3 (/ (pow eps 4) (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (+ (* -1 (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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))) (* -2/3 (/ (pow eps 4) (pow x 2)))))))>
#<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 (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))>
#<alt (- (/ (sin x) (cos x)) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow 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))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow 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))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<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 (* 17/315 (pow x 7))>
#<alt (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 17/315 (pow x 7))>
#<alt (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))>
#<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 (* -5/24 (* (pow x 4) (sin x)))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (sin x) (pow x 2))) (* -5/24 (sin x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (sin x) (pow x 4))) (+ (* -1/2 (/ (sin x) (pow x 2))) (+ (* -5/24 (sin x)) (/ (sin (+ eps x)) (* (pow x 4) (cos (+ eps x))))))))>
#<alt (* (pow x 4) (+ (* -1 (/ (sin x) (pow x 4))) (+ (* -1/2 (/ (sin x) (pow x 2))) (+ (* -5/24 (sin x)) (/ (sin (+ eps x)) (* (pow x 4) (cos (+ eps x))))))))>
#<alt (* -5/24 (* (pow x 4) (sin x)))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (sin x) (pow x 2))) (* -5/24 (sin x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (sin x) (pow x 4))) (+ (* -1/2 (/ (sin x) (pow x 2))) (+ (* -5/24 (sin x)) (/ (sin (- eps (* -1 x))) (* (pow x 4) (cos (- eps (* -1 x)))))))))>
#<alt (* (pow x 4) (+ (* -1 (/ (sin x) (pow x 4))) (+ (* -1/2 (/ (sin x) (pow x 2))) (+ (* -5/24 (sin x)) (/ (sin (- eps (* -1 x))) (* (pow x 4) (cos (- eps (* -1 x)))))))))>
#<alt (+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (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) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (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) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin x) (cos x))))>
#<alt (+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt -1>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)>
#<alt (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)>
#<alt (* -5/24 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 5/24))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 5/24))>
#<alt (* -5/24 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 5/24))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 5/24))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2))>
#<alt (* -5/24 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -5/24 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))>
#<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) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<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 (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps x)))>
#<alt (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (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) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 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 (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* -1 (* (pow eps 2) (* x (- (* -17/9 (pow x 2)) 2/3))))>
#<alt (* (pow eps 2) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (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 (* 17/9 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 17/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3)))))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 17/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3)))))>
#<alt (* 17/9 (* (pow eps 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (* -2/3 (/ (pow eps 2) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3))) (* -2/3 (/ (pow eps 2) (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3))) (* -2/3 (/ (pow eps 2) (pow x 2)))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* 17/315 (pow x 4))>
#<alt (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* 17/315 (pow x 4))>
#<alt (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* -5/24 (pow x 2))>
#<alt (* -5/24 (pow x 2))>
#<alt (* -5/24 (pow x 2))>
#<alt (* -5/24 (pow x 2))>
#<alt (* -5/24 (pow x 2))>
#<alt (* -5/24 (pow x 2))>
#<alt (* -5/24 (pow x 2))>
#<alt (* -5/24 (pow x 2))>
#<alt (* -5/24 (pow x 2))>
#<alt (* -5/24 (pow x 2))>
#<alt (* -5/24 (pow x 2))>
#<alt (* -5/24 (pow x 2))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))>
#<alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt x>
#<alt (* x (+ 1 (* 4/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))>
#<alt (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))>
#<alt (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))>
#<alt (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))>
#<alt (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))>
#<alt (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))>
#<alt (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))>
#<alt (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))>
#<alt (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
Calls

105 calls:

TimeVariablePointExpression
21.0ms
x
@0
(* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))
5.0ms
x
@-inf
(* eps (+ 1 (+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
4.0ms
x
@inf
(+ (* (sin x) (+ (* (* x x) (+ (* (* x x) -5/24) -1/2)) -1)) (tan (+ x eps)))
2.0ms
x
@inf
(* eps (+ 1 (+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
1.0ms
x
@inf
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))

rewrite380.0ms (2%)

Memory
21.5MiB live, 598.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 762×*-lowering-*.f32
4 762×*-lowering-*.f64
3 904×accelerator-lowering-fma.f32
3 904×accelerator-lowering-fma.f64
2 268×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071470
1527372
25595359
08129327
Stop Event
1×iter limit
1×node limit
Counts
26 → 550
Calls
Call 1
Inputs
(+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))
(+ (* eps 2/3) (* 17/9 (* x (* x 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))))
(* eps (+ 1 (+ (* eps (+ (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)) (* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))))
(tan (+ x eps))
(+ x eps)
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))))
(+ (* (sin x) (+ (* (* x x) (+ (* (* x x) -5/24) -1/2)) -1)) (tan (+ x eps)))
(sin x)
(+ (* (* x x) (+ (* (* x x) -5/24) -1/2)) -1)
(* (* x x) (+ (* (* x x) -5/24) -1/2))
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* eps 2/3)
(* eps (+ (* x (+ (* eps 2/3) (* 17/9 (* x (* x eps))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos 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)))))))
(* 1/6 (pow (sin x) 2))
(* x 17/315)
(* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))
(* (* x x) (+ 2/15 (* x (* x 17/315))))
(* (* x x) -5/24)
(pow (sin x) 3)
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(pow (cos x) 2)
Outputs
(+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(+.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #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))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #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))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #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))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(literal 1/6 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.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) (*.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)))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
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(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))))

simplify452.0ms (2.4%)

Memory
6.1MiB live, 639.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 670×accelerator-lowering-fma.f32
9 670×accelerator-lowering-fma.f64
6 220×*-lowering-*.f32
6 220×*-lowering-*.f64
3 700×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06137588
119417436
265557322
082606918
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
-1/2
(- (* -1/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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)))) 1/2)
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))
(* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))
(* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))
(* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))
(* 2/3 eps)
(+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))
(+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))
(+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))
(* 17/9 (* eps (pow x 2)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(* 17/9 (* eps (pow x 2)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
-1/3
(- (* -1/3 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(* 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) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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 (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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 eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -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) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))))) (+ (* -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) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin 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))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))))))) (+ (* -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) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* (pow eps 4) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -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 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -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) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))) 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)))))))
(* 17/9 (* (pow eps 4) (pow x 3)))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (* 17/9 (pow eps 4))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (+ (* 17/9 (pow eps 4)) (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (+ (* 17/9 (pow eps 4)) (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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)))))
(* 17/9 (* (pow eps 4) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (* -2/3 (/ (pow eps 4) (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (+ (* -1 (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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))) (* -2/3 (/ (pow eps 4) (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (+ (* -1 (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (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))) (* -2/3 (/ (pow eps 4) (pow x 2)))))))
(/ (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)))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315))
(* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))
(- (/ (sin x) (cos x)) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow 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))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow 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))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(/ (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))))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
(/ (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)))
(* -5/24 (* (pow x 4) (sin x)))
(* (pow x 4) (+ (* -1/2 (/ (sin x) (pow x 2))) (* -5/24 (sin x))))
(* (pow x 4) (+ (* -1 (/ (sin x) (pow x 4))) (+ (* -1/2 (/ (sin x) (pow x 2))) (+ (* -5/24 (sin x)) (/ (sin (+ eps x)) (* (pow x 4) (cos (+ eps x))))))))
(* (pow x 4) (+ (* -1 (/ (sin x) (pow x 4))) (+ (* -1/2 (/ (sin x) (pow x 2))) (+ (* -5/24 (sin x)) (/ (sin (+ eps x)) (* (pow x 4) (cos (+ eps x))))))))
(* -5/24 (* (pow x 4) (sin x)))
(* (pow x 4) (+ (* -1/2 (/ (sin x) (pow x 2))) (* -5/24 (sin x))))
(* (pow x 4) (+ (* -1 (/ (sin x) (pow x 4))) (+ (* -1/2 (/ (sin x) (pow x 2))) (+ (* -5/24 (sin x)) (/ (sin (- eps (* -1 x))) (* (pow x 4) (cos (- eps (* -1 x)))))))))
(* (pow x 4) (+ (* -1 (/ (sin x) (pow x 4))) (+ (* -1/2 (/ (sin x) (pow x 2))) (+ (* -5/24 (sin x)) (/ (sin (- eps (* -1 x))) (* (pow x 4) (cos (- eps (* -1 x)))))))))
(+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin x) (cos x)))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (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) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (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) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin x) (cos x))))
(+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (+ eps x)) (cos (+ eps x))))
(+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (+ eps x)) (cos (+ eps x))))
(+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (+ eps x)) (cos (+ eps x))))
(+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (+ eps x)) (cos (+ eps x))))
(+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(+ (* (sin x) (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
-1
(- (* -1/2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)
(- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)
(* -5/24 (pow x 4))
(* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 5/24))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 5/24))
(* -5/24 (pow x 4))
(* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 5/24))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 5/24))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -5/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* -5/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* -5/24 (pow x 2)) 1/2))
(* -5/24 (pow x 4))
(* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))
(* -5/24 (pow x 4))
(* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 5/24 (* 1/2 (/ 1 (pow x 2))))))
(* 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 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (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)))))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (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))))))
(* (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))))))
(* (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))))))
(/ (* (pow eps 2) (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(* (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))))))
(* (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))))))
(* (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))))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (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) (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 (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 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))
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 2) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -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) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -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) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -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) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* (pow eps 2) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -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 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -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 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -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)))))))
(* 17/9 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 17/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3)))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 17/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3)))))
(* 17/9 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (* -2/3 (/ (pow eps 2) (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3))) (* -2/3 (/ (pow eps 2) (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3))) (* -2/3 (/ (pow eps 2) (pow x 2)))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))
(* 17/315 (pow x 4))
(* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* 17/315 (pow x 4))
(* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* -5/24 (pow x 2))
(* -5/24 (pow x 2))
(* -5/24 (pow x 2))
(* -5/24 (pow x 2))
(* -5/24 (pow x 2))
(* -5/24 (pow x 2))
(* -5/24 (pow x 2))
(* -5/24 (pow x 2))
(* -5/24 (pow x 2))
(* -5/24 (pow x 2))
(* -5/24 (pow x 2))
(* -5/24 (pow x 2))
(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)
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) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (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)
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* -1/3 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)
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eps
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(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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#s(literal 1 binary64)
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(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
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1
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(* (pow eps 2) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(*.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))) (*.f64 x (*.f64 eps eps)))
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(* (pow eps 2) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -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) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -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 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64)))) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1/3 binary64) eps) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps))))) (*.f64 eps eps))
(* -1 (* (pow eps 2) (* x (- (* -17/9 (pow x 2)) 2/3))))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64)) (*.f64 x (*.f64 eps eps))))
(* (pow eps 2) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -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 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1/3 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)))))
(* (pow eps 2) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 1/3 (/ 1 eps)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))) (+ (* -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 #s(literal 1/3 binary64) eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 eps eps))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) (*.f64 eps (*.f64 x #s(literal 4/3 binary64))))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* 17/9 (* (pow eps 2) x)))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))))))
(* 17/9 (* (pow eps 2) (pow x 3)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 17/9 binary64))) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) (*.f64 x x))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 17/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3)))))
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(* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 17/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3)))))
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(* 17/9 (* (pow eps 2) (pow x 3)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (* -2/3 (/ (pow eps 2) (pow x 2))))))
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(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 3))) (* -2/3 (/ (pow eps 2) (pow x 2)))))))
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(* 1/6 (pow x 2))
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(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))
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(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))
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(* 1/6 (pow (sin x) 2))
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(* 1/6 (pow (sin x) 2))
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(* 1/6 (pow (sin x) 2))
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(* 17/315 x)
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(* 17/315 x)
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(* 17/315 x)
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(* 17/315 x)
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(* 17/315 x)
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(* 17/315 x)
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(* 17/315 x)
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(* 17/315 x)
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(* 17/315 x)
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(* 17/315 x)
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(* 17/315 x)
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(* 17/315 x)
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(* 1/3 (pow x 2))
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(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
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(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
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(* 17/315 (pow x 6))
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(*.f64 (+.f64 #s(literal 17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))
(* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))
(* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))
(* 17/315 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))
(* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* 17/315 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))
(* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* -5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
(* -5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
(* -5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
(* -5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
(* -5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
(* -5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
(* -5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
(* -5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
(* -5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
(* -5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
(* -5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
(* -5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/24 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 13/120 binary64)))))))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 13/120 binary64) (*.f64 (*.f64 x x) #s(literal -41/3024 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))
x
(* x (+ 1 (* 4/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64))))
(* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 17/15 binary64) (*.f64 (*.f64 x x) #s(literal 248/315 binary64))))))))))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (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 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 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 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 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))

eval282.0ms (1.5%)

Memory
1.9MiB live, 376.9MiB allocated
Compiler

Compiled 93 638 to 6 091 computations (93.5% saved)

prune165.0ms (0.9%)

Memory
-25.2MiB live, 344.4MiB allocated
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1 492141 506
Fresh13821
Picked415
Done213
Total1 511241 535
Accuracy
100.0%
Counts
1 535 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))))
61.4%
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
15.7%
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 3/2 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)))))
37.4%
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
61.4%
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶61.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓60.8%
(-.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) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
60.7%
(-.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)))))))
✓61.4%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
60.2%
(-.f64 (tan.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
98.8%
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))))))
98.8%
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))) (*.f64 x (*.f64 eps eps))))))))
99.7%
(+.f64 eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) eps))
▶98.8%
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))))
98.8%
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
98.1%
(+.f64 eps (*.f64 x (*.f64 eps eps)))
▶99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
99.7%
(*.f64 eps (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
99.3%
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
▶99.4%
(*.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 x)))
98.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))))
98.1%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
60.6%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
▶98.1%
eps
Compiler

Compiled 1 085 to 630 computations (41.9% saved)

simplify436.0ms (2.3%)

Memory
30.3MiB live, 624.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(+.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 (+.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 x))
✓cost-diff0
(*.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 x)))
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps))))
✓cost-diff0
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))))
✓cost-diff128
(+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
✓cost-diff128
(+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64))))
✓cost-diff6400
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
Rules
15 338×accelerator-lowering-fma.f32
15 338×accelerator-lowering-fma.f64
3 522×*-lowering-*.f32
3 522×*-lowering-*.f64
2 704×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063915
1162902
2441902
31284882
45327882
08211804
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ 1 (+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2))) eps)
(+ 1 (+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2)))
1
(+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2))
(* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9)))))))))
eps
(+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))
(/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x))
(+ (sin x) (* (sin x) (pow (tan x) 2)))
(sin x)
x
(* (sin x) (pow (tan x) 2))
(pow (tan x) 2)
(tan x)
2
(cos x)
(* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9)))))))
(- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))
(/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(- 1/2 (* 1/2 (cos (* 2 x))))
1/2
(* 1/2 (cos (* 2 x)))
(cos (* 2 x))
(* 2 x)
(/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(pow (sin x) 4)
4
(+ 1/2 (* 1/2 (cos (* 2 x))))
(- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9)))))
(+ -1/3 (* (pow (tan x) 2) -1/3))
-1/3
(* (pow (tan x) 2) -1/3)
(* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))
(+ (* eps 2/3) (* x (* (* x eps) 17/9)))
(* eps 2/3)
2/3
(* x (* (* x eps) 17/9))
(* (* x eps) 17/9)
(* x eps)
17/9
eps
(+ eps (* x (+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps)))))
eps
(* x (+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps))))
x
(+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps)))
(* eps eps)
(* x (* (+ 1 (* eps (* x 4/3))) eps))
(* (+ 1 (* eps (* x 4/3))) eps)
(+ 1 (* eps (* x 4/3)))
1
(* eps (* x 4/3))
(* x 4/3)
4/3
(/ 1 (/ 1 (- (tan (+ x eps)) (tan x))))
1
(/ 1 (- (tan (+ x eps)) (tan x)))
(- (tan (+ x eps)) (tan x))
(tan (+ x eps))
(+ x eps)
x
eps
(tan x)
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps x)))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps x))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(sin x)
x
2
(pow (cos x) 2)
(cos x)
(* eps x)
Outputs
(* (+ 1 (+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64))))) (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))))))))))
(+ 1 (+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64))))) (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))))))))))
1
#s(literal 1 binary64)
(+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64))))) (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))))))))
(* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9)))))))))
(*.f64 eps (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64))))) (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))))))))
eps
(+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64))))) (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))))))
(/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (sin x) (* (sin x) (pow (tan x) 2)))
(*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(sin x)
(sin.f64 x)
x
(* (sin x) (pow (tan x) 2))
(*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
2
#s(literal 2 binary64)
(cos x)
(cos.f64 x)
(* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9)))))))
(*.f64 eps (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64))))) (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))))))
(- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))
(+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 (*.f64 eps x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64))))) (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))))
(/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 x)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(pow (sin x) 4)
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9)))))
(+.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 x #s(literal -17/9 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))
(* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64)))))
(+ (* eps 2/3) (* x (* (* x eps) 17/9)))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 17/9 binary64)))))
(* eps 2/3)
(*.f64 eps #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
(* x (* (* x eps) 17/9))
(*.f64 x (*.f64 #s(literal 17/9 binary64) (*.f64 eps x)))
(* (* x eps) 17/9)
(*.f64 #s(literal 17/9 binary64) (*.f64 eps x))
(* x eps)
(*.f64 eps x)
17/9
#s(literal 17/9 binary64)
eps
(+ eps (* x (+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps)))))
(*.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))))))))
eps
(* x (+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps))))
(*.f64 x (*.f64 eps (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))))))
x
(+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps)))
(*.f64 eps (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))
(* eps eps)
(*.f64 eps eps)
(* x (* (+ 1 (* eps (* x 4/3))) eps))
(*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))))
(* (+ 1 (* eps (* x 4/3))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))
(+ 1 (* eps (* x 4/3)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))
1
#s(literal 1 binary64)
(* eps (* x 4/3))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps x))
(* x 4/3)
(*.f64 x #s(literal 4/3 binary64))
4/3
#s(literal 4/3 binary64)
(/ 1 (/ 1 (- (tan (+ x eps)) (tan x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
1
#s(literal 1 binary64)
(/ 1 (- (tan (+ x eps)) (tan x)))
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(- (tan (+ x eps)) (tan x))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(tan x)
(tan.f64 x)
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps x)))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps x))))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps 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))))
1
#s(literal 1 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))
(sin x)
(sin.f64 x)
x
2
#s(literal 2 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos x)
(cos.f64 x)
(* eps x)
(*.f64 eps x)

localize465.0ms (2.4%)

Memory
0.6MiB live, 710.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓accuracy100.0%
(+.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 x))
✓accuracy100.0%
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓accuracy99.9%
(tan.f64 (+.f64 x eps))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓accuracy61.5%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓accuracy99.9%
(*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps))))
✓accuracy99.8%
(+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))
✓accuracy99.8%
(*.f64 eps (*.f64 x #s(literal 4/3 binary64)))
✓accuracy99.4%
(*.f64 x #s(literal 4/3 binary64))
✓accuracy99.6%
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))
✓accuracy99.5%
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64))))))))
✓accuracy99.5%
(*.f64 eps #s(literal 2/3 binary64))
✓accuracy48.6%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
Samples
327.0ms249×1valid
3.0ms7×0valid
Compiler

Compiled 921 to 65 computations (92.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 266.0ms
ival-mult: 62.0ms (23.3% of total)
ival-div: 50.0ms (18.8% of total)
ival-cos: 41.0ms (15.4% of total)
ival-add: 31.0ms (11.6% of total)
adjust: 20.0ms (7.5% of total)
const: 18.0ms (6.8% of total)
ival-pow2: 16.0ms (6% of total)
ival-sub: 8.0ms (3% of total)
ival-tan: 7.0ms (2.6% of total)
ival-pow: 7.0ms (2.6% of total)
ival-sin: 4.0ms (1.5% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series48.0ms (0.3%)

Memory
20.2MiB live, 58.0MiB allocated
Counts
24 → 456
Calls
Call 1
Inputs
#<alt (+ (sin x) (* (sin x) (pow (tan x) 2)))>
#<alt (+ (* eps 2/3) (* x (* (* x eps) 17/9)))>
#<alt (* (+ 1 (+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2))) eps)>
#<alt (+ 1 (+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2)))>
#<alt (+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps)))>
#<alt (+ eps (* x (+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps)))))>
#<alt (* x (+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps))))>
#<alt (* eps eps)>
#<alt (/ 1 (/ 1 (- (tan (+ x eps)) (tan x))))>
#<alt (/ 1 (- (tan (+ x eps)) (tan x)))>
#<alt (- (tan (+ x eps)) (tan x))>
#<alt (tan (+ x eps))>
#<alt (* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps x)))>
#<alt (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps x))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (* eps 2/3)>
#<alt (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9)))))))>
#<alt (* (pow (tan x) 2) -1/3)>
#<alt (* x 4/3)>
#<alt (* eps (* x 4/3))>
#<alt (pow (cos x) 2)>
#<alt (pow (sin x) 2)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 5/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))>
#<alt (* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))>
#<alt (* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))>
#<alt (* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))>
#<alt (* 2/3 eps)>
#<alt (+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))>
#<alt (+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))>
#<alt (+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))>
#<alt (* 17/9 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))>
#<alt (* 17/9 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))>
#<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 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (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 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* -1 (* (pow eps 4) (* x (- (* -17/9 (pow x 2)) 2/3))))>
#<alt (* (pow eps 4) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))>
#<alt (* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps))) eps))))>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (* 17/9 (* (pow eps 4) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (* 17/9 (pow eps 4))))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (+ (* 17/9 (pow eps 4)) (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3)))))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (+ (* 17/9 (pow eps 4)) (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3)))))>
#<alt (* 17/9 (* (pow eps 4) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (* -2/3 (/ (pow eps 4) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (+ (* -1 (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3))) (* -2/3 (/ (pow eps 4) (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (+ (* -1 (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3))) (* -2/3 (/ (pow eps 4) (pow 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 (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 3) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* (pow eps 3) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* (pow eps 3) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps)) (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<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)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))))>
#<alt (* 17/9 (* (pow eps 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (* 17/9 (pow eps 3))))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 17/9 (pow eps 3)) (+ (/ 1 (pow x 3)) (+ (/ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (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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#<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 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt eps>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* x (+ (* eps x) (pow eps 2))))>
#<alt (+ eps (* x (+ (* x (+ eps (* 2/3 (* eps (pow x 2))))) (pow eps 2))))>
#<alt (* (pow eps 2) x)>
#<alt (* x (+ (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x) (pow eps 2)))>
#<alt (* x (+ (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x) (pow eps 2)))>
#<alt (* x (+ (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x) (pow eps 2)))>
#<alt (* (pow eps 2) x)>
#<alt (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x)) (* -1 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps x)))>
#<alt (+ 1 (* x (+ eps (* x (+ 1 (* 2/3 (pow x 2)))))))>
#<alt (* eps x)>
#<alt (* x (+ eps (+ (/ 1 x) (/ (pow (sin x) 2) (* x (pow (cos x) 2))))))>
#<alt (* x (+ eps (+ (/ 1 x) (/ (pow (sin x) 2) (* x (pow (cos x) 2))))))>
#<alt (* x (+ eps (+ (/ 1 x) (/ (pow (sin x) 2) (* x (pow (cos x) 2))))))>
#<alt (* eps x)>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) x)))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps x)>
#<alt (* eps (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* eps (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* eps (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))>
#<alt (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))>
#<alt (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))>
#<alt (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))>
#<alt (* (pow eps 2) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* -1 (* (pow eps 2) (* x (- (* -17/9 (pow x 2)) 2/3))))>
#<alt (* (pow eps 2) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))>
#<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 (* 17/9 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 17/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (pow x 3)))))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 17/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (pow x 3)))))>
#<alt (* 17/9 (* (pow eps 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (* -2/3 (/ (pow eps 2) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (pow x 3))) (* -2/3 (/ (pow eps 2) (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (pow x 3))) (* -2/3 (/ (pow eps 2) (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 x)>
#<alt (* 4/3 x)>
#<alt (* 4/3 x)>
#<alt (* 4/3 x)>
#<alt (* 4/3 x)>
#<alt (* 4/3 x)>
#<alt (* 4/3 x)>
#<alt (* 4/3 x)>
#<alt (* 4/3 x)>
#<alt (* 4/3 x)>
#<alt (* 4/3 x)>
#<alt (* 4/3 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 (* eps x))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
Calls

114 calls:

TimeVariablePointExpression
4.0ms
x
@0
(+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps)))
3.0ms
x
@inf
(* (+ 1 (+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2))) eps)
2.0ms
x
@-inf
(* (+ 1 (+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2))) eps)
2.0ms
eps
@0
(* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9)))))))
2.0ms
eps
@0
(* (+ 1 (+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2))) eps)

rewrite443.0ms (2.3%)

Memory
-9.9MiB live, 590.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 968×accelerator-lowering-fma.f32
4 968×accelerator-lowering-fma.f64
4 822×*-lowering-*.f32
4 822×*-lowering-*.f64
3 526×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063407
1438334
24444328
09196305
Stop Event
1×iter limit
1×node limit
Counts
24 → 600
Calls
Call 1
Inputs
(+ (sin x) (* (sin x) (pow (tan x) 2)))
(+ (* eps 2/3) (* x (* (* x eps) 17/9)))
(* (+ 1 (+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2))) eps)
(+ 1 (+ (* eps (+ (/ (+ (sin x) (* (sin x) (pow (tan x) 2))) (cos x)) (* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9))))))))) (pow (tan x) 2)))
(+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps)))
(+ eps (* x (+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps)))))
(* x (+ (* eps eps) (* x (* (+ 1 (* eps (* x 4/3))) eps))))
(* eps eps)
(/ 1 (/ 1 (- (tan (+ x eps)) (tan x))))
(/ 1 (- (tan (+ x eps)) (tan x)))
(- (tan (+ x eps)) (tan x))
(tan (+ x eps))
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps x)))
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps x))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(- 1/2 (* 1/2 (cos (* 2 x))))
(* eps 2/3)
(* eps (- (/ (+ (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (pow (sin x) 4) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- (+ -1/3 (* (pow (tan x) 2) -1/3)) (* x (+ (* eps 2/3) (* x (* (* x eps) 17/9)))))))
(* (pow (tan x) 2) -1/3)
(* x 4/3)
(* eps (* x 4/3))
(pow (cos x) 2)
(pow (sin x) 2)
Outputs
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))
(fma.f64 (tan.f64 x) (*.f64 (tan.f64 x) (sin.f64 x)) (sin.f64 x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x) (sin.f64 x))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (tan.f64 x) (sin.f64 x))
(fma.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (neg.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (neg.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)))
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))
(+.f64 (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))) (*.f64 eps #s(literal 2/3 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4/9 binary64)) (-.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 x (*.f64 x eps))) #s(literal 289/81 binary64)) (-.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))))
(fma.f64 x (*.f64 x (*.f64 eps #s(literal 17/9 binary64))) (*.f64 eps #s(literal 2/3 binary64)))
(fma.f64 eps #s(literal 2/3 binary64) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))
(fma.f64 #s(literal 2/3 binary64) eps (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))
(fma.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps)) (*.f64 eps #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x (*.f64 eps #s(literal 17/9 binary64))) x (*.f64 eps #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x eps) (*.f64 #s(literal 17/9 binary64) x) (*.f64 eps #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x x) (*.f64 eps #s(literal 17/9 binary64)) (*.f64 eps #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x eps)) #s(literal 17/9 binary64) (*.f64 eps #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x #s(literal 17/9 binary64)) (*.f64 x eps) (*.f64 eps #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/9 binary64)) (*.f64 (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))) (-.f64 (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))) (*.f64 eps #s(literal 2/3 binary64))))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 8/27 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 eps (*.f64 x (*.f64 x eps)))) #s(literal 4913/729 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps)))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 4/9 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 x (*.f64 x eps))) #s(literal 289/81 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 8/27 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 eps (*.f64 x (*.f64 x eps)))) #s(literal 4913/729 binary64)))) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/9 binary64)) (*.f64 (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))) (-.f64 (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))) (*.f64 eps #s(literal 2/3 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 8/27 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 eps (*.f64 x (*.f64 x eps)))) #s(literal 4913/729 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 x (*.f64 x eps))) #s(literal 289/81 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 4/9 binary64)) (*.f64 eps (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 4/9 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 x (*.f64 x eps))) #s(literal 289/81 binary64))) (-.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 8/27 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 eps (*.f64 x (*.f64 x eps)))) #s(literal 4913/729 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/9 binary64)) (*.f64 (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))) (-.f64 (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))) (*.f64 eps #s(literal 2/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 4/9 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 x (*.f64 x eps))) #s(literal 289/81 binary64)))) (neg.f64 (-.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 x (*.f64 x eps))) #s(literal 289/81 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/9 binary64))) (-.f64 (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))) (*.f64 eps #s(literal 2/3 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/9 binary64)) (*.f64 (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))) (-.f64 (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))) (*.f64 eps #s(literal 2/3 binary64))))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 8/27 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 eps (*.f64 x (*.f64 x eps)))) #s(literal 4913/729 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps)))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 4/9 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 x (*.f64 x eps))) #s(literal 289/81 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 8/27 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 eps (*.f64 x (*.f64 x eps)))) #s(literal 4913/729 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/9 binary64)) (*.f64 (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))) (-.f64 (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))) (*.f64 eps #s(literal 2/3 binary64)))))))
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(+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify543.0ms (2.8%)

Memory
24.4MiB live, 806.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 682×accelerator-lowering-fma.f32
10 682×accelerator-lowering-fma.f64
7 472×*-lowering-*.f32
7 472×*-lowering-*.f64
5 256×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071910288
123609942
083109421
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
x
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))
(* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))
(* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))
(* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))
(* 2/3 eps)
(+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))
(+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))
(+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))
(* 17/9 (* eps (pow x 2)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(* 17/9 (* eps (pow x 2)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(* 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 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (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 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* -1 (* (pow eps 4) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* (pow eps 4) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))) 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)))))))
(* 17/9 (* (pow eps 4) (pow x 3)))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (* 17/9 (pow eps 4))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (+ (* 17/9 (pow eps 4)) (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (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) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (+ (* 17/9 (pow eps 4)) (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3)))))
(* 17/9 (* (pow eps 4) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (* -2/3 (/ (pow eps 4) (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (+ (* -1 (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3))) (* -2/3 (/ (pow eps 4) (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (+ (* -1 (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3))) (* -2/3 (/ (pow eps 4) (pow x 2)))))))
(+ 1 (/ (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 (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 3) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* (pow eps 3) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* (pow eps 3) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps)) (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))))
(+ 1 (+ (* 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))))))))))))
(* 17/9 (* (pow eps 3) (pow x 3)))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (* 17/9 (pow eps 3))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 17/9 (pow eps 3)) (+ (/ 1 (pow x 3)) (+ (/ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (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) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 17/9 (pow eps 3)) (+ (/ 1 (pow x 3)) (+ (/ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (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))))))))
(* 17/9 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 3)) (* -2/3 (/ (pow eps 3) (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 3)) (+ (* -1 (/ (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow x 3))) (* -2/3 (/ (pow eps 3) (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 3)) (+ (* -1 (/ (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow x 3))) (* -2/3 (/ (pow eps 3) (pow x 2)))))))
(* eps x)
(* eps (+ x (* eps (+ 1 (* 4/3 (pow x 2))))))
(* eps (+ x (* eps (+ 1 (* 4/3 (pow x 2))))))
(* eps (+ x (* eps (+ 1 (* 4/3 (pow x 2))))))
(* (pow eps 2) (+ 1 (* 4/3 (pow x 2))))
(* (pow eps 2) (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* (pow eps 2) (+ 1 (* 4/3 (pow x 2))))
(* (pow eps 2) (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(pow eps 2)
(+ (* eps x) (pow eps 2))
(+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))
(+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))
(* 4/3 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ eps x)))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ eps x) (/ (pow eps 2) (pow x 2)))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ eps x) (/ (pow eps 2) (pow x 2)))))
(* 4/3 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ eps x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 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))))
(* (pow eps 2) (* x (+ 1 (* 4/3 (pow x 2)))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (pow x 2)) 1) eps)) (* x (+ 1 (* 4/3 (pow x 2))))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (pow x 2)) 1) eps)) (* x (+ 1 (* 4/3 (pow x 2))))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (pow x 2)) 1) eps)) (* x (+ 1 (* 4/3 (pow x 2))))))
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)))))
(* (pow eps 2) x)
(* x (+ (* eps x) (pow eps 2)))
(* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2)))
(* 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) (/ (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 (/ (pow eps 2) x)) x)))))
(* eps (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 (+ (* 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)))) (/ (pow x 2) eps)))
(* (pow eps 2) (+ (* x (+ 1 (* 4/3 (pow x 2)))) (/ (pow x 2) eps)))
(* (pow eps 2) (+ (* x (+ 1 (* 4/3 (pow x 2)))) (/ (pow x 2) eps)))
(* (pow eps 2) (* x (+ 1 (* 4/3 (pow x 2)))))
(* (pow eps 2) (+ (* x (+ 1 (* 4/3 (pow x 2)))) (/ (pow x 2) eps)))
(* (pow eps 2) (+ (* x (+ 1 (* 4/3 (pow x 2)))) (/ (pow x 2) eps)))
(* (pow eps 2) (+ (* x (+ 1 (* 4/3 (pow x 2)))) (/ (pow x 2) eps)))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(/ (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)))
(/ (cos eps) (sin eps))
(+ (* -1 x) (/ (cos eps) (sin eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) 1)) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) 1)) (/ (cos eps) (sin eps)))
(/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))
(/ 1 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(/ (+ (* -1 (/ (* eps (sin x)) (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))) (/ (sin x) (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))) (cos x))) (+ (* -1 (/ (+ (* -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)))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 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) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))) (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))) (/ (sin x) (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)
(/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))
(/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))
(/ (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 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* 2/3 (* eps (pow x 2))))) (pow eps 2))))
(* (pow eps 2) x)
(* x (+ (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x) (pow eps 2)))
(* x (+ (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x) (pow eps 2)))
(* x (+ (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x) (pow eps 2)))
(* (pow eps 2) x)
(* -1 (* x (+ (* -1 (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x)) (* -1 (pow eps 2)))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* 2/3 (pow x 2)))))))
(* eps x)
(* x (+ eps (+ (/ 1 x) (/ (pow (sin x) 2) (* x (pow (cos x) 2))))))
(* x (+ eps (+ (/ 1 x) (/ (pow (sin x) 2) (* x (pow (cos x) 2))))))
(* x (+ eps (+ (/ 1 x) (/ (pow (sin x) 2) (* x (pow (cos x) 2))))))
(* eps x)
(* -1 (* x (+ (* -1 eps) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) x)))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) x)))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) x)))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps x)
(* eps (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 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))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
(* (pow eps 2) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 2) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* (pow eps 2) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* (pow eps 2) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* -1 (* (pow eps 2) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* (pow eps 2) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* (pow eps 2) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* (pow eps 2) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(* 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)))))))
(* 17/9 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 17/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (pow x 3)))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 17/9 (pow eps 2)) (/ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (pow x 3)))))
(* 17/9 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (* -2/3 (/ (pow eps 2) (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (pow x 3))) (* -2/3 (/ (pow eps 2) (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 2)) (+ (* -1 (/ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (pow x 3))) (* -2/3 (/ (pow eps 2) (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 x)
(* 4/3 x)
(* 4/3 x)
(* 4/3 x)
(* 4/3 x)
(* 4/3 x)
(* 4/3 x)
(* 4/3 x)
(* 4/3 x)
(* 4/3 x)
(* 4/3 x)
(* 4/3 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 (* eps 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)
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
Outputs
x
(* x (+ 1 (* 5/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/6 binary64) (*.f64 (*.f64 x x) #s(literal 61/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 61/120 binary64) (*.f64 (*.f64 x x) #s(literal 277/1008 binary64)))))))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))))
(* eps (+ 2/3 (* 17/9 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))))
(* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))
(*.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64))))
(* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))
(*.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64))))
(* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))
(*.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64))))
(* -1 (* eps (- (* -17/9 (pow x 2)) 2/3)))
(*.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64))))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))))
(+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))))
(+ (* 2/3 eps) (* 17/9 (* eps (pow x 2))))
(*.f64 eps (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))))
(* 17/9 (* eps (pow x 2)))
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 17/9 binary64)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 eps (*.f64 x x))) (*.f64 eps #s(literal 17/9 binary64))))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 eps (*.f64 x x))) (*.f64 eps #s(literal 17/9 binary64))))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 eps (*.f64 x x))) (*.f64 eps #s(literal 17/9 binary64))))
(* 17/9 (* eps (pow x 2)))
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 17/9 binary64)))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 eps (*.f64 x x))) (*.f64 eps #s(literal 17/9 binary64))))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 eps (*.f64 x x))) (*.f64 eps #s(literal 17/9 binary64))))
(* (pow x 2) (+ (* 2/3 (/ eps (pow x 2))) (* 17/9 eps)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 eps (*.f64 x x))) (*.f64 eps #s(literal 17/9 binary64))))
(* 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 (*.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))))) (+.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 (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.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 (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))) (+.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))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))))) #s(literal 1 binary64))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 (*.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 (+.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))) (*.f64 x eps)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))) (+.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))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.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 eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(*.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))) (*.f64 x (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64)))) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1/3 binary64) eps) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) eps) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))))
(* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 eps eps)) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) eps) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))))
(* (pow eps 4) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 eps eps)) (cos.f64 x)) (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) eps) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))))) (-.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))))
(* -1 (* (pow eps 4) (* x (- (* -17/9 (pow x 2)) 2/3))))
(*.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64)))
(* (pow eps 4) (- (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
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(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps))))
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(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (* -1 (/ (+ (/ 1 eps) (+ (/ (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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(* eps (+ 1 (* 1/3 (pow eps 2))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/3 binary64)))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))
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(+ (* 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)))))))
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(+ (* 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)))))))
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(* 17/9 (* (pow eps 4) (pow x 3)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (* 17/9 (pow eps 4))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x x)) (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (+ (* 17/9 (pow eps 4)) (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (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) (+ (* 2/3 (/ (pow eps 4) (pow x 2))) (+ (* 17/9 (pow eps 4)) (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (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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(* 17/9 (* (pow eps 4) (pow x 3)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (* -2/3 (/ (pow eps 4) (pow x 2))))))
(*.f64 (+.f64 (*.f64 #s(literal -17/9 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (+ (* -1 (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3))) (* -2/3 (/ (pow eps 4) (pow x 2)))))))
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(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 4)) (+ (* -1 (/ (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 3))) (* -2/3 (/ (pow eps 4) (pow x 2)))))))
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(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
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(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 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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(* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(*.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/9 binary64))) (*.f64 x (*.f64 eps (*.f64 eps eps))))
(* (pow eps 3) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
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(* (pow eps 3) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
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(* (pow eps 3) (- (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))))))) (+ (* -1/3 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
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(* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))
(*.f64 (neg.f64 (*.f64 eps (*.f64 x (*.f64 eps eps)))) (+.f64 (*.f64 (*.f64 x x) #s(literal -17/9 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
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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 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps)) (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2))))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.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 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))) eps) (+.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))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))))) eps))))
(+ 1 (* 1/3 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/3 binary64))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))))
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(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))))
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(+ 1 (+ (* 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))))))))))))
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(* 17/9 (* (pow eps 3) (pow x 3)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 #s(literal 17/9 binary64) (*.f64 eps eps)))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (* 17/9 (pow eps 3))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 17/9 binary64) (*.f64 eps eps)))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 17/9 (pow eps 3)) (+ (/ 1 (pow x 3)) (+ (/ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (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) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 17/9 (pow eps 3)) (+ (/ 1 (pow x 3)) (+ (/ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (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))))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x)) (+.f64 (+.f64 (+.f64 (*.f64 eps (*.f64 #s(literal 17/9 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.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 (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))) (+.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))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))))) (*.f64 x (*.f64 x x))))))
(* 17/9 (* (pow eps 3) (pow x 3)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 #s(literal 17/9 binary64) (*.f64 eps eps)))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 3)) (* -2/3 (/ (pow eps 3) (pow x 2))))))
(*.f64 (+.f64 (*.f64 eps (*.f64 #s(literal -17/9 binary64) (*.f64 eps eps))) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -17/9 (pow eps 3)) (+ (* -1 (/ (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (pow (sin x) 4) (pow (+ 1/2 (* 1/2 (cos (* 2 x)))) 2)))) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow x 3))) (* -2/3 (/ (pow eps 3) (pow x 2)))))))
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eval398.0ms (2.1%)

Memory
-219.6MiB live, 336.1MiB allocated
Compiler

Compiled 46 812 to 3 686 computations (92.1% saved)

prune158.0ms (0.8%)

Memory
41.3MiB live, 386.1MiB allocated
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New1 041151 056
Fresh8917
Picked325
Done022
Total1 052281 080
Accuracy
100.0%
Counts
1 080 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))))
61.4%
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
15.7%
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 3/2 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)))))
37.4%
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
61.4%
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #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))))) (/.f64 (/.f64 (*.f64 (sin.f64 x) eps) (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))
✓61.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓60.8%
(-.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) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
60.7%
(-.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)))))))
✓61.4%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
60.2%
(-.f64 (tan.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
99.7%
(+.f64 eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) eps))
98.8%
(+.f64 eps (*.f64 x (*.f64 x eps)))
98.8%
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
99.4%
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x eps))) eps)
99.3%
(*.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)))) eps)
99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 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)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/135 binary64)) #s(literal -2/9 binary64)))) #s(literal -1/3 binary64)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
6.4%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (/.f64 eps x)))
3.5%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps eps) (*.f64 x x)))))
99.7%
(*.f64 eps (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
98.9%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 eps x)))
98.9%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
98.9%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 eps x)))
50.7%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) (*.f64 eps x)))
98.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
60.6%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓98.1%
eps
Compiler

Compiled 2 620 to 847 computations (67.7% saved)

regimes74.0ms (0.4%)

Memory
4.0MiB live, 158.5MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 eps x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps eps) (*.f64 x x)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 eps x)))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))) (*.f64 x (*.f64 eps eps))))))))
(-.f64 (tan.f64 x) x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (tan.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x eps))) eps)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (+.f64 (/.f64 eps (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (+.f64 (*.f64 x x) (*.f64 eps eps))))) (tan.f64 x))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) (*.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(*.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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)))) eps)
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps 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 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(+.f64 eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) eps))
(*.f64 eps (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(/.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 (+.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 3/2 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)))))
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (+.f64 x eps) x))) (*.f64 (cos.f64 x) (cos.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 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #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))))) (/.f64 (/.f64 (*.f64 (sin.f64 x) eps) (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))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/135 binary64)) #s(literal -2/9 binary64)))) #s(literal -1/3 binary64)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 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)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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))) (/.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 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 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 x (*.f64 eps #s(literal 2/3 binary64))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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))))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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))))))
Calls

3 calls:

18.0ms
eps
18.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
18.0ms
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)

regimes83.0ms (0.4%)

Memory
-34.0MiB live, 135.3MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 eps x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps eps) (*.f64 x x)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 eps x)))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))) (*.f64 x (*.f64 eps eps))))))))
(-.f64 (tan.f64 x) x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (tan.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x eps))) eps)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (+.f64 (/.f64 eps (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (+.f64 (*.f64 x x) (*.f64 eps eps))))) (tan.f64 x))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) (*.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(*.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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)))) eps)
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps 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 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(+.f64 eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) eps))
(*.f64 eps (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(/.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 (+.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 3/2 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)))))
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (+.f64 x eps) x))) (*.f64 (cos.f64 x) (cos.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 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #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))))) (/.f64 (/.f64 (*.f64 (sin.f64 x) eps) (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))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/135 binary64)) #s(literal -2/9 binary64)))) #s(literal -1/3 binary64)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 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)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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))) (/.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 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 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 x (*.f64 eps #s(literal 2/3 binary64))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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))))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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))))))
Calls

3 calls:

18.0ms
x
18.0ms
eps
18.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 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)

regimes71.0ms (0.4%)

Memory
19.6MiB live, 129.1MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 eps x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps eps) (*.f64 x x)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 eps x)))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))) (*.f64 x (*.f64 eps eps))))))))
(-.f64 (tan.f64 x) x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (tan.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x eps))) eps)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (+.f64 (/.f64 eps (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (+.f64 (*.f64 x x) (*.f64 eps eps))))) (tan.f64 x))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) (*.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(*.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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)))) eps)
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps 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 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(+.f64 eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) eps))
(*.f64 eps (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(/.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 (+.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 3/2 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)))))
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (+.f64 x eps) x))) (*.f64 (cos.f64 x) (cos.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 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #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))))) (/.f64 (/.f64 (*.f64 (sin.f64 x) eps) (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))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/135 binary64)) #s(literal -2/9 binary64)))) #s(literal -1/3 binary64)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 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)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (sin.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))) (/.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 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 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 x (*.f64 eps #s(literal 2/3 binary64))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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))))))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 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)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
Calls

3 calls:

24.0ms
x
22.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
17.0ms
eps
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)

regimes93.0ms (0.5%)

Memory
9.9MiB live, 91.7MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 eps x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps eps) (*.f64 x x)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 eps x)))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))) (*.f64 x (*.f64 eps eps))))))))
(-.f64 (tan.f64 x) x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (tan.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x eps))) eps)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (+.f64 (/.f64 eps (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (+.f64 (*.f64 x x) (*.f64 eps eps))))) (tan.f64 x))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) (*.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(*.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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)))) eps)
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps 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 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(+.f64 eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) eps))
(*.f64 eps (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(/.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 (+.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 3/2 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)))))
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (+.f64 x eps) x))) (*.f64 (cos.f64 x) (cos.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 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #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))))) (/.f64 (/.f64 (*.f64 (sin.f64 x) eps) (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))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/135 binary64)) #s(literal -2/9 binary64)))) #s(literal -1/3 binary64)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/135 binary64)) #s(literal -2/9 binary64)))) #s(literal -1/3 binary64)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
Calls

3 calls:

36.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
35.0ms
x
14.0ms
eps
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)

regimes80.0ms (0.4%)

Memory
10.2MiB live, 88.7MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 eps x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps eps) (*.f64 x x)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 eps x)))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))) (*.f64 x (*.f64 eps eps))))))))
(-.f64 (tan.f64 x) x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (tan.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x eps))) eps)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (+.f64 (/.f64 eps (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (+.f64 (*.f64 x x) (*.f64 eps eps))))) (tan.f64 x))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) (*.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(*.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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)))) eps)
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps 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 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(+.f64 eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) eps))
(*.f64 eps (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(/.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 (+.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 3/2 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)))))
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (+.f64 x eps) x))) (*.f64 (cos.f64 x) (cos.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 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #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))))) (/.f64 (/.f64 (*.f64 (sin.f64 x) eps) (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))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.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))))))
Calls

3 calls:

31.0ms
eps
29.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes164.0ms (0.9%)

Memory
-37.2MiB live, 83.5MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 eps x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps eps) (*.f64 x x)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 eps x)))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))) (*.f64 x (*.f64 eps eps))))))))
(-.f64 (tan.f64 x) x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (tan.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x eps))) eps)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (+.f64 (/.f64 eps (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (+.f64 (*.f64 x x) (*.f64 eps eps))))) (tan.f64 x))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) (*.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(*.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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)))) eps)
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps 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 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(+.f64 eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) eps))
(*.f64 eps (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(/.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 (+.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 3/2 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)))))
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (+.f64 x eps) x))) (*.f64 (cos.f64 x) (cos.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)))))
Outputs
(+.f64 eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) eps))
Calls

3 calls:

63.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
61.0ms
eps
13.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes60.0ms (0.3%)

Memory
30.2MiB live, 69.3MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 eps x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps eps) (*.f64 x x)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 eps x)))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))) (*.f64 x (*.f64 eps eps))))))))
(-.f64 (tan.f64 x) x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (tan.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x eps))) eps)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (+.f64 (/.f64 eps (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (+.f64 (*.f64 x x) (*.f64 eps eps))))) (tan.f64 x))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) (*.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -5/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(*.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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)))) eps)
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps 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 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
Outputs
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x eps))) eps)
Calls

3 calls:

32.0ms
eps
12.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
12.0ms
x
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)

regimes41.0ms (0.2%)

Memory
1.0MiB live, 42.0MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 eps x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps eps) (*.f64 x x)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 eps x)))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))) (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 eps #s(literal 17/9 binary64)))) (*.f64 x (*.f64 eps eps))))))))
(-.f64 (tan.f64 x) x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (tan.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.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 x (*.f64 x #s(literal 17/315 binary64))))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Outputs
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 eps x)))
Calls

3 calls:

24.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms
eps
7.0ms
x
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)

regimes25.0ms (0.1%)

Memory
-23.4MiB live, 16.2MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 eps x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps eps) (*.f64 x x)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
Outputs
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
Calls

2 calls:

20.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
98.9%1x
98.9%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 eps x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))) eps)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps eps) (*.f64 x x)))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
Calls

2 calls:

4.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
98.9%1x
98.9%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) (/.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))))
Outputs
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
Calls

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
98.8%1x
98.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.1%)

Memory
-29.6MiB live, 10.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
Outputs
(+.f64 eps (*.f64 x (*.f64 x eps)))
Calls

2 calls:

18.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
98.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
Outputs
(+.f64 eps (*.f64 x (*.f64 eps eps)))
Calls

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
98.1%1x
98.1%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
Calls

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
98.1%1x
98.1%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(-.f64 #s(literal 0 binary64) x)
Outputs
eps
Calls

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
98.1%1x
98.1%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.1%)

Memory
-33.2MiB live, 6.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

19.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
5.2%1eps
5.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify265.0ms (1.4%)

Memory
-28.2MiB live, 82.2MiB allocated
Algorithm
1×egg-herbie
Rules
1 342×unsub-neg_binary64
1 232×neg-mul-1_binary64
982×distribute-lft-neg-in_binary64
802×*-commutative_binary64
768×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165616
1303616
2344616
3405616
4510616
5687616
61103616
71871616
82830616
93495616
104163616
114763616
124875616
134933616
145272616
155500616
165510616
175513616
185514616
195514616
205518616
215518616
225523616
235527616
245529616
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 #s(literal 17/9 binary64) (*.f64 x (*.f64 x eps))))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 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)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/135 binary64)) #s(literal -2/9 binary64)))) #s(literal -1/3 binary64)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.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))))))
(+.f64 eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) eps))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x eps))) eps)
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 eps x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
eps
#s(literal 0 binary64)
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1/6 binary64) (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))))))
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(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 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)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(*.f64 eps (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 17/9 binary64) (*.f64 eps x))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 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))) #s(literal -1/3 binary64)))))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -17/135 binary64)) #s(literal -2/9 binary64)))) #s(literal -1/3 binary64)))) (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 17/9 binary64)))))))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(*.f64 eps (+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 17/9 binary64) (*.f64 eps x))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -2/9 binary64) (*.f64 (*.f64 x x) #s(literal -17/135 binary64))))) #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))))))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.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))))))
(*.f64 eps (+.f64 (+.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) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(+.f64 eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) eps))
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x eps))) eps)
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 eps x) #s(literal 1 binary64))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 eps x)))
(*.f64 eps (+.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.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)))))) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.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 x)))
(*.f64 eps (+.f64 (*.f64 eps x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(*.f64 eps (+.f64 (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps x)))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(*.f64 eps (+.f64 (*.f64 eps x) #s(literal 1 binary64)))
eps
#s(literal 0 binary64)

soundness1.6s (8.4%)

Memory
49.5MiB live, 1 388.4MiB allocated
Rules
14 592×accelerator-lowering-fma.f32
14 592×accelerator-lowering-fma.f64
11 410×accelerator-lowering-fma.f32
11 410×accelerator-lowering-fma.f64
10 682×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
14616
239816
3612316
0810116
084020664
1270819735
0819719182
01571351
14641285
215341274
359491242
085341195
06137588
119417436
265557322
082606918
063407
1438334
24444328
09196305
071910288
123609942
083109421
071470
1527372
25595359
08129327
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 1 293 to 536 computations (58.5% saved)

preprocess127.0ms (0.7%)

Memory
-8.1MiB live, 311.9MiB allocated
Compiler

Compiled 1 336 to 388 computations (71% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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