2tan (problem 3.3.2)

Time bar (total: 17.1s)

start0.0ms (0%)

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

analyze45.0ms (0.3%)

Memory
-9.4MiB live, 34.5MiB allocated; 8ms collecting garbage
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)

sample5.8s (34.2%)

Memory
-106.8MiB live, 6 472.3MiB allocated; 2.0s collecting garbage
Samples
3.0s26 247×0invalid
1.1s5 137×1valid
283.0ms3 119×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-tan: 686.0ms (26% of total)
const: 475.0ms (18% of total)
ival-add: 317.0ms (12% of total)
adjust: 269.0ms (10.2% of total)
ival-fabs: 241.0ms (9.1% of total)
ival-sub: 236.0ms (8.9% of total)
ival-mult: 188.0ms (7.1% of total)
ival-<: 140.0ms (5.3% of total)
ival-and: 77.0ms (2.9% of total)
ival-assert: 15.0ms (0.6% of total)
Bogosity

explain122.0ms (0.7%)

Memory
-11.8MiB live, 123.8MiB allocated; 18ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2313(2.951004843385784e-253 1.9417586934747439e-255)6(-1.0196635956323071e-246 3.3247637638894428e-248)(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
20-0-(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))cancellation2286
tan.f64(tan.f64 (+.f64 x eps))sensitivity20
Confusion
Predicted +Predicted -
+2256
-322
Precision
0.9868421052631579
Recall
0.974025974025974
Confusion?
Predicted +Predicted MaybePredicted -
+22551
-3121
Precision?
0.9829059829059829
Recall?
0.9956709956709957
Freqs
test
numberfreq
028
1226
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms326×1valid
25.0ms182×0valid
4.0ms4×3valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-tan: 24.0ms (52.4% of total)
adjust: 13.0ms (28.4% of total)
ival-add: 4.0ms (8.7% of total)
ival-sub: 4.0ms (8.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess234.0ms (1.4%)

Memory
-13.3MiB live, 227.1MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02150
14050
26750
311450
418950
533050
666050
7151350
8290350
9433450
067
0107
1167
2257
3417
4667
51177
62217
74727
813137
932347
1052047
080887
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 #s(literal 7 binary64) (PI.f64) (+.f64 eps x)) (PI.f64)) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.3%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series13.0ms (0.1%)

Memory
23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Counts
6 → 36
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole 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)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms
eps
@0
((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms
eps
@inf
((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms
x
@0
((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms
eps
@-inf
((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))

rewrite190.0ms (1.1%)

Memory
-5.1MiB live, 219.3MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02011262
02061117
11269904
08326874
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
42 → 87
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole 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)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Outputs
(/.f64 (neg.f64 (-.f64 (*.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x)))) (neg.f64 (fma.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))))))
(/.f64 (neg.f64 (sin.f64 (-.f64 (+.f64 eps x) x))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
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(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
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(-.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
(/.f64 (neg.f64 (sin.f64 (+.f64 (+.f64 eps x) (PI.f64)))) (neg.f64 (cos.f64 (+.f64 (+.f64 eps x) (PI.f64)))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
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(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (sin.f64 (+.f64 (+.f64 eps x) (PI.f64))) (cos.f64 (+.f64 (+.f64 eps x) (PI.f64))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) eps))
(tan.f64 (+.f64 (+.f64 eps x) (PI.f64)))
(tan.f64 (+.f64 eps x))
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(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
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(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x)))
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(+.f64 eps x)
(+.f64 x eps)
x
eps
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 x (PI.f64)))
(tan.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
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#s(approx (tan (+ x eps)) (tan.f64 eps))
#s(approx (tan (+ x eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
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#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (tan x) x)
#s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (tan x) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)) (PI.f64))) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)) (PI.f64))))
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#s(approx (tan (+ x eps)) (tan.f64 x))
#s(approx (tan (+ x eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64) (*.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps (tan.f64 x)))
#s(approx eps eps)
#s(approx (+ x eps) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1 binary64) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)) (PI.f64))) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)) (PI.f64))))
#s(approx (+ x eps) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)) eps) #s(literal -1 binary64)))

eval11.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 284 to 417 computations (81.7% saved)

prune33.0ms (0.2%)

Memory
-22.8MiB live, 23.3MiB allocated; 4ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New87289
Fresh000
Picked101
Done000
Total88290
Accuracy
100.0%
Counts
90 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)))) x (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
▶100.0%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))) eps (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
Compiler

Compiled 253 to 79 computations (68.8% saved)

series186.0ms (1.1%)

Memory
29.3MiB live, 315.3MiB allocated; 60ms collecting garbage
Counts
64 → 338
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))) eps (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
(*.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))) eps (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps)
(-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))) eps (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))) eps (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))) eps (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x))))
(-.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x))))
(*.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
(sin.f64 x)
(cos.f64 x)
#s(literal -1/2 binary64)
(/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x))
(fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x))))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/6 binary64) (cos.f64 x))
#s(literal 1/6 binary64)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)))) x (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)))) x (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))
(fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)))) x (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(cos.f64 eps)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
(tan.f64 eps)
(pow.f64 (sin.f64 eps) #s(literal 2 binary64))
(sin.f64 eps)
(fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(/.f64 #s(literal 1/6 binary64) (cos.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole 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)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))))
#s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) #s(hole binary64 (+ (* 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)))))))))
#s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) #s(hole binary64 (+ (* 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)))))))))
#s(approx (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) #s(hole binary64 (+ 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))))))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
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#s(approx (+ 1 (* 1 (pow (tan x) 2))) #s(hole binary64 1))
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#s(approx (* 1 (pow (tan x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* 1 (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
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#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
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#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (cos x) #s(hole binary64 1))
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#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
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#s(approx (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2)) #s(hole binary64 -1/2))
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#s(approx (/ 1/6 (cos x)) #s(hole binary64 1/6))
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#s(approx (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x))) #s(hole binary64 (* 1/6 x)))
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#s(approx (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 x))
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#s(approx (+ (* (* -1 x) (+ (+ (* (/ -1 (cos eps)) (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps))) (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))))) 1/2)) (* 1 (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps)))) #s(hole binary64 (* eps (+ 1 (* 4/3 (* eps x))))))
#s(approx (+ (* (* -1 x) (+ (+ (* (/ -1 (cos eps)) (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps))) (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))))) 1/2)) (* 1 (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps)))) #s(hole binary64 (* eps (+ 1 (* eps (+ (* 4/3 eps) (* 4/3 x)))))))
#s(approx (+ (* (* -1 x) (+ (+ (* (/ -1 (cos eps)) (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps))) (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))))) 1/2)) (* 1 (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps)))) #s(hole binary64 (* eps (+ 1 (* eps (+ (* 4/3 x) (* eps (+ 4/3 (* 17/9 (* eps x))))))))))
#s(approx (+ (+ (* (/ -1 (cos eps)) (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps))) (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))))) 1/2) #s(hole binary64 (* -4/3 (pow eps 2))))
#s(approx (+ (+ (* (/ -1 (cos eps)) (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps))) (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))))) 1/2) #s(hole binary64 (* (pow eps 2) (- (* -17/9 (pow eps 2)) 4/3))))
#s(approx (+ (+ (* (/ -1 (cos eps)) (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps))) (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))))) 1/2) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* -248/135 (pow eps 2)) 17/9)) 4/3))))
#s(approx (+ (+ (* (/ -1 (cos eps)) (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps))) (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))))) 1/2) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/945 (pow eps 2)) 248/135)) 17/9)) 4/3))))
#s(approx (+ (* (/ -1 (cos eps)) (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps))) (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))))) #s(hole binary64 -1/2))
#s(approx (+ (* (/ -1 (cos eps)) (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps))) (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))))) #s(hole binary64 (- (* -4/3 (pow eps 2)) 1/2)))
#s(approx (+ (* (/ -1 (cos eps)) (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps))) (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))))) #s(hole binary64 (- (* (pow eps 2) (- (* -17/9 (pow eps 2)) 4/3)) 1/2)))
#s(approx (+ (* (/ -1 (cos eps)) (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps))) (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))))) #s(hole binary64 (- (* (pow eps 2) (- (* (pow eps 2) (- (* -248/135 (pow eps 2)) 17/9)) 4/3)) 1/2)))
#s(approx (/ -1 (cos eps)) #s(hole binary64 -1))
#s(approx (/ -1 (cos eps)) #s(hole binary64 (- (* -1/2 (pow eps 2)) 1)))
#s(approx (/ -1 (cos eps)) #s(hole binary64 (- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)))
#s(approx (/ -1 (cos eps)) #s(hole binary64 (- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps)) #s(hole binary64 (pow eps 2)))
#s(approx (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 7/6 (pow eps 2))))))
#s(approx (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 7/6 (* 331/360 (pow eps 2))))))))
#s(approx (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) (cos eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 7/6 (* (pow eps 2) (+ 331/360 (* 3071/5040 (pow eps 2))))))))))
#s(approx (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))
#s(approx (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))))
#s(approx (* (+ 1 (* 1 (pow (tan eps) 2))) (pow (sin eps) 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))))))
#s(approx (+ 1 (* 1 (pow (tan eps) 2))) #s(hole binary64 1))
#s(approx (+ 1 (* 1 (pow (tan eps) 2))) #s(hole binary64 (+ 1 (pow eps 2))))
#s(approx (+ 1 (* 1 (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
#s(approx (+ 1 (* 1 (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2)))))))))
#s(approx (* 1 (pow (tan eps) 2)) #s(hole binary64 (pow eps 2)))
#s(approx (* 1 (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))
#s(approx (* 1 (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))))
#s(approx (* 1 (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (pow (sin eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (sin eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1/3 (pow eps 2))))))
#s(approx (pow (sin eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (- (* 2/45 (pow eps 2)) 1/3))))))
#s(approx (pow (sin eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2))))) #s(hole binary64 -1/2))
#s(approx (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2))))) #s(hole binary64 (- (* -1/3 (pow eps 2)) 1/2)))
#s(approx (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2))))) #s(hole binary64 (- (* (pow eps 2) (- (* -2/9 (pow eps 2)) 1/3)) 1/2)))
#s(approx (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2))))) #s(hole binary64 (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/135 (pow eps 2)) 2/9)) 1/3)) 1/2)))
#s(approx (/ 1/6 (cos eps)) #s(hole binary64 1/6))
#s(approx (/ 1/6 (cos eps)) #s(hole binary64 (+ 1/6 (* 1/12 (pow eps 2)))))
#s(approx (/ 1/6 (cos eps)) #s(hole binary64 (+ 1/6 (* (pow eps 2) (+ 1/12 (* 5/144 (pow eps 2)))))))
#s(approx (/ 1/6 (cos eps)) #s(hole binary64 (+ 1/6 (* (pow eps 2) (+ 1/12 (* (pow eps 2) (+ 5/144 (* 61/4320 (pow eps 2)))))))))
#s(approx (/ (pow (sin eps) 2) (cos eps)) #s(hole binary64 (pow eps 2)))
#s(approx (/ (pow (sin eps) 2) (cos eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 1/6 (pow eps 2))))))
#s(approx (/ (pow (sin eps) 2) (cos eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 1/6 (* 31/360 (pow eps 2))))))))
#s(approx (/ (pow (sin eps) 2) (cos eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 1/6 (* (pow eps 2) (+ 31/360 (* 173/5040 (pow eps 2))))))))))
#s(approx (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))) #s(hole binary64 -1/2))
#s(approx (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))) #s(hole binary64 (- (* -1/2 (pow eps 2)) 1/2)))
#s(approx (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))) #s(hole binary64 (- (* (pow eps 2) (- (* -1/3 (pow eps 2)) 1/2)) 1/2)))
#s(approx (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))) #s(hole binary64 (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3)) 1/2)) 1/2)))
#s(approx (* 1 (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps))) #s(hole binary64 eps))
#s(approx (* 1 (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps))) #s(hole binary64 (* eps (+ 1 (* 4/3 (pow eps 2))))))
#s(approx (* 1 (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 4/3 (* 17/15 (pow eps 2))))))))
#s(approx (* 1 (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 4/3 (* (pow eps 2) (+ 17/15 (* 248/315 (pow eps 2))))))))))
#s(approx (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps)) #s(hole binary64 eps))
#s(approx (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps)) #s(hole binary64 (* eps (+ 1 (* 4/3 (pow eps 2))))))
#s(approx (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 4/3 (* 17/15 (pow eps 2))))))))
#s(approx (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 4/3 (* (pow eps 2) (+ 17/15 (* 248/315 (pow eps 2))))))))))
#s(approx (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) #s(hole binary64 eps))
#s(approx (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) #s(hole binary64 (* eps (+ 1 (* 5/6 (pow eps 2))))))
#s(approx (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 5/6 (* 61/120 (pow eps 2))))))))
#s(approx (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 5/6 (* (pow eps 2) (+ 61/120 (* 277/1008 (pow eps 2))))))))))
#s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) #s(hole binary64 (* -1 (* (pow eps 4) (+ (* -1/2 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (+ (* 1/6 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))))))))
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Calls

6 calls:

TimeVariablePointExpression
55.0ms
x
@-inf
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25.0ms
eps
@-inf
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23.0ms
eps
@inf
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22.0ms
x
@inf
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16.0ms
eps
@0
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rewrite291.0ms (1.7%)

Memory
-9.4MiB live, 405.7MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147831415
0161928819
0813428309
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
402 → 532
Calls
Call 1
Inputs
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#s(approx (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) #s(hole binary64 1/3))
#s(approx (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) #s(hole binary64 (+ 1/3 (* 2/3 (* eps x)))))
#s(approx (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) #s(hole binary64 (+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))))
#s(approx (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) #s(hole binary64 (+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* 17/9 (* eps x)))))))))
#s(approx (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) #s(hole binary64 (* 2/3 (* eps x))))
#s(approx (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* 17/9 (* eps (pow x 2)))))))
#s(approx (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/9 eps) (* 124/45 (* eps (pow x 2)))))))))
#s(approx (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/9 eps) (* (pow x 2) (+ (* 124/45 eps) (* 2764/945 (* eps (pow x 2)))))))))))
#s(approx (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x))) #s(hole binary64 (* -2/3 x)))
#s(approx (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x))) #s(hole binary64 (* x (- (* -17/9 (pow x 2)) 2/3))))
#s(approx (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -124/45 (pow x 2)) 17/9)) 2/3))))
#s(approx (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2764/945 (pow x 2)) 124/45)) 17/9)) 2/3))))
#s(approx (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 x))
#s(approx (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) #s(hole binary64 x))
#s(approx (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (+ 1 (* 1 (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (+ 1 (* 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (* 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (* 1 (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (* 1 (pow (tan x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* 1 (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* 1 (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* 1 (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (* -1/6 x)))
#s(approx (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (* x (- (* -11/9 (pow x 2)) 1/6))))
#s(approx (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -197/90 (pow x 2)) 11/9)) 1/6))))
#s(approx (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2392/945 (pow x 2)) 197/90)) 11/9)) 1/6))))
#s(approx (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) #s(hole binary64 (* -1/6 x)))
#s(approx (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) #s(hole binary64 (* x (- (* -41/36 (pow x 2)) 1/6))))
#s(approx (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1141/720 (pow x 2)) 41/36)) 1/6))))
#s(approx (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -44981/30240 (pow x 2)) 1141/720)) 41/36)) 1/6))))
#s(approx (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) #s(hole binary64 -1/2))
#s(approx (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (/ -1 (cos x)) #s(hole binary64 -1))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* -1/2 (pow x 2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1)))
#s(approx (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 7/6 (pow x 2))))))
#s(approx (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 7/6 (* 331/360 (pow x 2))))))))
#s(approx (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 7/6 (* (pow x 2) (+ 331/360 (* 3071/5040 (pow x 2))))))))))
#s(approx (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2)) #s(hole binary64 -1/2))
#s(approx (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (/ 1/6 (cos x)) #s(hole binary64 1/6))
#s(approx (/ 1/6 (cos x)) #s(hole binary64 (+ 1/6 (* 1/12 (pow x 2)))))
#s(approx (/ 1/6 (cos x)) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/12 (* 5/144 (pow x 2)))))))
#s(approx (/ 1/6 (cos x)) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 5/144 (* 61/4320 (pow x 2)))))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (* (+ 1 (* 1 (pow (tan x) 2))) -1/2) #s(hole binary64 -1/2))
#s(approx (* (+ 1 (* 1 (pow (tan x) 2))) -1/2) #s(hole binary64 (- (* -1/2 (pow x 2)) 1/2)))
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#s(approx (+ 1 (* 1 (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2)))))))))
#s(approx (* 1 (pow (tan eps) 2)) #s(hole binary64 (pow eps 2)))
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#s(approx (pow (tan eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))
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#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))))))
#s(approx (tan eps) #s(hole binary64 eps))
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#s(approx (pow (sin eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (- (* 2/45 (pow eps 2)) 1/3))))))
#s(approx (pow (sin eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3))))))
#s(approx (sin eps) #s(hole binary64 eps))
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#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (+ (* (/ 1/6 (cos eps)) (/ (pow (sin eps) 2) (cos eps))) (* -1/2 (+ 1 (* 1 (pow (tan eps) 2))))) #s(hole binary64 -1/2))
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#s(approx (/ 1/6 (cos eps)) #s(hole binary64 1/6))
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#s(approx (/ 1/6 (cos eps)) #s(hole binary64 (+ 1/6 (* (pow eps 2) (+ 1/12 (* (pow eps 2) (+ 5/144 (* 61/4320 (pow eps 2)))))))))
#s(approx (/ (pow (sin eps) 2) (cos eps)) #s(hole binary64 (pow eps 2)))
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#s(approx (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))) #s(hole binary64 -1/2))
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#s(approx (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))) #s(hole binary64 (- (* (pow eps 2) (- (* -1/3 (pow eps 2)) 1/2)) 1/2)))
#s(approx (* -1/2 (+ 1 (* 1 (pow (tan eps) 2)))) #s(hole binary64 (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3)) 1/2)) 1/2)))
#s(approx (* 1 (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps))) #s(hole binary64 eps))
#s(approx (* 1 (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps))) #s(hole binary64 (* eps (+ 1 (* 4/3 (pow eps 2))))))
#s(approx (* 1 (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 4/3 (* 17/15 (pow eps 2))))))))
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#s(approx (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps)) #s(hole binary64 eps))
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#s(approx (/ (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 4/3 (* (pow eps 2) (+ 17/15 (* 248/315 (pow eps 2))))))))))
#s(approx (* (+ 1 (* 1 (pow (tan eps) 2))) (sin eps)) #s(hole binary64 eps))
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Outputs
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#s(approx (tan eps) (tan.f64 eps))
#s(approx (pow (sin eps) 2) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))
#s(approx (sin eps) (sin.f64 eps))
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#s(approx (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) eps)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))) eps))) eps) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))))))
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#s(approx (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) eps)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))) eps)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))))))
#s(approx (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) eps)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (pow.f64 eps #s(literal -1 binary64))) eps))) eps) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))))))
#s(approx (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) eps)))))
#s(approx (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) (*.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (+.f64 (fma.f64 #s(literal -1/2 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)))) eps) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (fma.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 eps #s(literal -1 binary64))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x)))))))

eval387.0ms (2.3%)

Memory
13.3MiB live, 495.9MiB allocated; 58ms collecting garbage
Compiler

Compiled 190 525 to 9 006 computations (95.3% saved)

prune2.4s (14.2%)

Memory
10.1MiB live, 3 584.2MiB allocated; 342ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1 19021 192
Fresh000
Picked112
Done000
Total1 19131 194
Accuracy
100.0%
Counts
1 194 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)))) x (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
▶27.6%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x))))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
▶27.6%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps))))))
Compiler

Compiled 863 to 223 computations (74.2% saved)

series209.0ms (1.2%)

Memory
0.2MiB live, 187.8MiB allocated; 29ms collecting garbage
Counts
64 → 367
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps))))))
#s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps)))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps))))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
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#s(literal -1 binary64)
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(sin.f64 x)
x
#s(literal 1 binary64)
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(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
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#s(literal 1/6 binary64)
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(*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x))))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
#s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x))))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x))))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x))))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x))))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x)))))
(/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps)
(+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x))))
(pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64))
(*.f64 (*.f64 eps eps) eps)
(*.f64 eps eps)
(/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 (*.f64 eps eps) (cos.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole 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)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
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#s(approx (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (pow x 3)))
#s(approx (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/2 (pow x 2))))))
#s(approx (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 11/40 (pow x 2))))))))
#s(approx (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 11/40 (* 421/3024 (pow x 2))))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (pow (cos x) 2) #s(hole binary64 1))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 1/6 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) #s(hole binary64 (* 1/6 x)))
#s(approx (* 1/6 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) #s(hole binary64 (* x (+ 1/6 (* 2/9 (pow x 2))))))
#s(approx (* 1/6 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 2/9 (* 17/90 (pow x 2))))))))
#s(approx (* 1/6 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 17/90 (* 124/945 (pow x 2))))))))))
#s(approx (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) (cos x)) #s(hole binary64 (* -1/3 x)))
#s(approx (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) (cos x)) #s(hole binary64 (* x (- (* -13/9 (pow x 2)) 1/3))))
#s(approx (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -107/45 (pow x 2)) 13/9)) 1/3))))
#s(approx (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2516/945 (pow x 2)) 107/45)) 13/9)) 1/3))))
#s(approx (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) #s(hole binary64 (* -1/3 x)))
#s(approx (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) #s(hole binary64 (* x (- (* -23/18 (pow x 2)) 1/3))))
#s(approx (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))))
#s(approx (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))))
#s(approx (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 -1/3))
#s(approx (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))) #s(hole binary64 -1/2))
#s(approx (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (pow x 4)))
#s(approx (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 4) (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 92/945 (pow x 2))))))))))
#s(approx (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 -1/2))
#s(approx (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (/ 1/6 (cos x)) #s(hole binary64 1/6))
#s(approx (/ 1/6 (cos x)) #s(hole binary64 (+ 1/6 (* 1/12 (pow x 2)))))
#s(approx (/ 1/6 (cos x)) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/12 (* 5/144 (pow x 2)))))))
#s(approx (/ 1/6 (cos x)) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 5/144 (* 61/4320 (pow x 2)))))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (/ (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps) #s(hole binary64 (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) eps))))
#s(approx (/ (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps) #s(hole binary64 (+ (* -1 (/ x (pow eps 2))) (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) eps)))))
#s(approx (/ (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps) #s(hole binary64 (+ (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) eps)) (* x (- (* -1 (/ (* x (+ 4/3 (/ 1 (pow eps 2)))) eps)) (/ 1 (pow eps 2)))))))
#s(approx (/ (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps) #s(hole binary64 (+ (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) eps)) (* x (- (* x (+ (* -4/3 (/ x (pow eps 2))) (* -1 (/ (+ 4/3 (/ 1 (pow eps 2))) eps)))) (/ 1 (pow eps 2)))))))
#s(approx (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (* -1 (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (- (* -1 (/ x eps)) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (- (* x (- (* -1 (* x (+ 4/3 (/ 1 (pow eps 2))))) (/ 1 eps))) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (- (* x (- (* x (- (* -4/3 (/ x eps)) (+ 4/3 (/ 1 (pow eps 2))))) (/ 1 eps))) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) #s(hole binary64 1/6))
#s(approx (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) #s(hole binary64 (+ 1/6 (* -1 (pow x 2)))))
#s(approx (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -5/3 (pow x 2)) 1)))))
#s(approx (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -77/45 (pow x 2)) 5/3)) 1)))))
#s(approx (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) #s(hole binary64 (* -1 (pow x 2))))
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Calls

6 calls:

TimeVariablePointExpression
49.0ms
x
@-inf
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37.0ms
x
@0
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32.0ms
x
@inf
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2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))) (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)) (/ (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps) (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))) (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 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(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps)) (+ (pow (* (* eps eps) eps) -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (* eps eps) (cos x))))) (/ (* -1 (pow (sin x) 2)) (* (* (* eps eps) eps) (pow (cos x) 2)))) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps)) (+ (pow (* (* eps eps) eps) -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (* eps eps) (cos x))))) (/ (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps) (+ (pow (* (* eps eps) eps) -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) 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21.0ms
eps
@-inf
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16.0ms
eps
@inf
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(* (* eps eps) (cos x)))) (pow (* (* eps eps) eps) -1) (* (* eps eps) eps) (* eps eps) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (* eps eps) (cos x))) (* (* eps eps) (cos x)) (/ (* -1 (pow (sin x) 2)) (* (* (* eps eps) eps) (pow (cos x) 2))) (* (* (* eps eps) eps) (pow (cos x) 2)))

rewrite333.0ms (1.9%)

Memory
52.5MiB live, 424.4MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157649024
0173245510
0834144806
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
431 → 554
Calls
Call 1
Inputs
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(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
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#s(literal -1 binary64)
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#s(approx (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (pow x 3)))
#s(approx (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/2 (pow x 2))))))
#s(approx (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 11/40 (pow x 2))))))))
#s(approx (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 11/40 (* 421/3024 (pow x 2))))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (pow (cos x) 2) #s(hole binary64 1))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 1/6 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) #s(hole binary64 (* 1/6 x)))
#s(approx (* 1/6 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) #s(hole binary64 (* x (+ 1/6 (* 2/9 (pow x 2))))))
#s(approx (* 1/6 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 2/9 (* 17/90 (pow x 2))))))))
#s(approx (* 1/6 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 17/90 (* 124/945 (pow x 2))))))))))
#s(approx (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) (cos x)) #s(hole binary64 (* -1/3 x)))
#s(approx (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) (cos x)) #s(hole binary64 (* x (- (* -13/9 (pow x 2)) 1/3))))
#s(approx (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -107/45 (pow x 2)) 13/9)) 1/3))))
#s(approx (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2516/945 (pow x 2)) 107/45)) 13/9)) 1/3))))
#s(approx (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) #s(hole binary64 (* -1/3 x)))
#s(approx (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) #s(hole binary64 (* x (- (* -23/18 (pow x 2)) 1/3))))
#s(approx (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))))
#s(approx (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))))
#s(approx (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 -1/3))
#s(approx (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))) #s(hole binary64 -1/2))
#s(approx (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (pow x 4)))
#s(approx (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 4) (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 92/945 (pow x 2))))))))))
#s(approx (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 -1/2))
#s(approx (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 1))
#s(approx (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (/ 1/6 (cos x)) #s(hole binary64 1/6))
#s(approx (/ 1/6 (cos x)) #s(hole binary64 (+ 1/6 (* 1/12 (pow x 2)))))
#s(approx (/ 1/6 (cos x)) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/12 (* 5/144 (pow x 2)))))))
#s(approx (/ 1/6 (cos x)) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 5/144 (* 61/4320 (pow x 2)))))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (/ (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps) #s(hole binary64 (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) eps))))
#s(approx (/ (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps) #s(hole binary64 (+ (* -1 (/ x (pow eps 2))) (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) eps)))))
#s(approx (/ (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps) #s(hole binary64 (+ (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) eps)) (* x (- (* -1 (/ (* x (+ 4/3 (/ 1 (pow eps 2)))) eps)) (/ 1 (pow eps 2)))))))
#s(approx (/ (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps) #s(hole binary64 (+ (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) eps)) (* x (- (* x (+ (* -4/3 (/ x (pow eps 2))) (* -1 (/ (+ 4/3 (/ 1 (pow eps 2))) eps)))) (/ 1 (pow eps 2)))))))
#s(approx (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (* -1 (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (- (* -1 (/ x eps)) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (- (* x (- (* -1 (* x (+ 4/3 (/ 1 (pow eps 2))))) (/ 1 eps))) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1 (/ (- (+ (pow eps -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* -1 (pow (sin x) 2)) (* eps (pow (cos x) 2)))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) #s(hole binary64 (- (* x (- (* x (- (* -4/3 (/ x eps)) (+ 4/3 (/ 1 (pow eps 2))))) (/ 1 eps))) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) #s(hole binary64 1/6))
#s(approx (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) #s(hole binary64 (+ 1/6 (* -1 (pow x 2)))))
#s(approx (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -5/3 (pow x 2)) 1)))))
#s(approx (+ 1/6 (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -77/45 (pow x 2)) 5/3)) 1)))))
#s(approx (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) #s(hole binary64 (* -1 (pow x 2))))
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Outputs
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#s(approx (* (pow eps 4) (+ (* -1 (+ (+ (* -1/2 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* 1/6 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) (cos x)))) (- (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps)) (+ (pow (* (* eps eps) eps) -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (* eps eps) (cos x))))) (/ (* -1 (pow (sin x) 2)) (* (* (* eps eps) eps) (pow (cos x) 2)))))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 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)) (fma.f64 #s(literal 1/6 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 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal -1/2 binary64)) (pow.f64 eps #s(literal -1/2 binary64)) (+.f64 (tan.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) eps) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) eps)))))
#s(approx (+ (* -1 (+ (+ (* -1/2 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* 1/6 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) (cos x)))) (- (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps)) (+ (pow (* (* eps eps) eps) -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (* eps eps) (cos x))))) (/ (* -1 (pow (sin x) 2)) (* (* (* eps eps) eps) (pow (cos x) 2))))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 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)) (fma.f64 #s(literal 1/6 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 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (tan.f64 x) eps) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) eps))))
#s(approx (+ (* -1 (+ (+ (* -1/2 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* 1/6 (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))))))) (cos x)))) (- (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps)) (+ (pow (* (* eps eps) eps) -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (* eps eps) (cos x))))) (/ (* -1 (pow (sin x) 2)) (* (* (* eps eps) eps) (pow (cos x) 2))))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 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)) (fma.f64 #s(literal 1/6 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 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal -1/2 binary64)) (pow.f64 eps #s(literal -1/2 binary64)) (+.f64 (tan.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) eps) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) eps))))
#s(approx (- (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps)) (+ (pow (* (* eps eps) eps) -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (* eps eps) (cos x))))) (/ (* -1 (pow (sin x) 2)) (* (* (* eps eps) eps) (pow (cos x) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (tan.f64 x) eps) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) eps)))
#s(approx (- (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps)) (+ (pow (* (* eps eps) eps) -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (* eps eps) (cos x))))) (/ (* -1 (pow (sin x) 2)) (* (* (* eps eps) eps) (pow (cos x) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal -1/2 binary64)) (pow.f64 eps #s(literal -1/2 binary64)) (+.f64 (tan.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) eps) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) eps)))
#s(approx (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps)) (+ (pow (* (* eps eps) eps) -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (* eps eps) (cos x))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (tan.f64 x) eps) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) eps)))
#s(approx (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* (pow (sin x) 2) 1) (* (pow (sin x) 2) (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x)))))) eps)) (+ (pow (* (* eps eps) eps) -1) (/ (+ (* (sin x) 1) (* (sin x) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (* eps eps) (cos x))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 eps #s(literal -1 binary64)) eps) (+.f64 (/.f64 (tan.f64 x) eps) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) eps)))

eval604.0ms (3.5%)

Memory
-18.3MiB live, 636.9MiB allocated; 121ms collecting garbage
Compiler

Compiled 920 836 to 15 252 computations (98.3% saved)

prune6.0s (34.9%)

Memory
31.5MiB live, 8 582.0MiB allocated; 458ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2 28302 283
Fresh000
Picked022
Done011
Total2 28332 286
Accuracy
100.0%
Counts
2 286 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)))) x (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
✓27.6%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x))))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
✓27.6%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps))))))
Compiler

Compiled 1 901 to 387 computations (79.6% saved)

regimes7.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x))))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))) eps (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)))) x (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))) eps (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
Calls

3 calls:

2.0ms
eps
2.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
100.0%1x
100.0%1eps
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory
-38.9MiB live, 6.7MiB allocated; 4ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x))))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x))))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
Calls

3 calls:

6.0ms
eps
1.0ms
x
1.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
AccuracySegmentsBranch
27.6%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
27.6%1x
27.6%1eps
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

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

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps))))))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps))))))
Calls

3 calls:

1.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
27.6%1x
27.6%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
27.6%1eps
Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify50.0ms (0.3%)

Memory
28.0MiB live, 28.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0131891
1241858
2723812
33700792
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))) eps (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 eps eps) (cos.f64 x))))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps))))))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))) eps (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64))) eps (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
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#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (* -1 eps) (+ (* (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6) (sin x)) (* 1/6 (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ -1 (cos x)) (/ (* (+ 1 (* 1 (pow (tan x) 2))) (pow (sin x) 2)) (cos x))) (+ (* (/ 1/6 (cos x)) (/ (pow (sin x) 2) (cos x))) (* (+ 1 (* 1 (pow (tan x) 2))) -1/2))) 1/6)) eps) (* 1 (/ (* (+ 1 (* 1 (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (* (pow (tan x) 2) -1)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 x))) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) eps))))))
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derivations84.0ms (0.5%)

Memory
-25.9MiB live, 24.2MiB allocated; 12ms collecting garbage
Stop Event
1×done
Compiler

Compiled 928 to 133 computations (85.7% saved)

preprocess48.0ms (0.3%)

Memory
-2.2MiB live, 42.2MiB allocated; 8ms collecting garbage
Compiler

Compiled 1 870 to 278 computations (85.1% saved)

end0.0ms (0%)

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

Profiling

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