Trigonometry B

Time bar (total: 10.2s)

analyze270.0ms (2.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
50%50%50%0%0%0%0%7
50%50%50%0%0%0%0%8
50%50%50%0%0%0%0%9
50%50%50%0%0%0%0%10
50%50%50%0%0%0%0%11
50%50%50%0%0%0%0%12
Compiler

Compiled 17 to 8 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 35.0ms (42.4% of total)
ival-tan: 14.0ms (17% of total)
ival-sub: 10.0ms (12.1% of total)
ival-div: 10.0ms (12.1% of total)
ival-add: 10.0ms (12.1% of total)
const: 2.0ms (2.4% of total)
backward-pass: 1.0ms (1.2% of total)

sample1.1s (10.8%)

Results
909.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 723.0ms
ival-tan: 494.0ms (68.3% of total)
ival-mult: 65.0ms (9% of total)
ival-div: 58.0ms (8% of total)
ival-add: 48.0ms (6.6% of total)
ival-sub: 45.0ms (6.2% of total)
const: 10.0ms (1.4% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess186.0ms (1.8%)

Algorithm
2×egg-herbie
Rules
2398×fnmadd-define
2362×sum3-define
1916×sum4-define
1892×fma-define
1672×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01450
14342
29039
320939
451239
5119339
6278739
7392439
8774339
0715
11814
23113
35413
410213
520113
641713
784813
8296513
9781813
0814913
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
Outputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Call 2
Inputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(/ (- 1 (* (tan (neg x)) (tan (neg x)))) (+ 1 (* (tan (neg x)) (tan (neg x)))))
(neg (/ (- 1 (* (tan (neg x)) (tan (neg x)))) (+ 1 (* (tan (neg x)) (tan (neg x))))))
Outputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(/ (fnmsub (tan x) (tan x) -1) (fmsub (tan x) (tan x) -1))
(/ (- 1 (* (tan (neg x)) (tan (neg x)))) (+ 1 (* (tan (neg x)) (tan (neg x)))))
(/ (fnmsub (tan x) (tan x) -1) (fmsub (tan x) (tan x) -1))
(neg (/ (- 1 (* (tan (neg x)) (tan (neg x)))) (+ 1 (* (tan (neg x)) (tan (neg x))))))
(/ (fnmsub (tan x) (tan x) -1) (fnmsub (tan x) (tan x) 1))
Symmetry

(abs x)

explain95.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
00-0-x
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
00-0-#s(literal 1 binary64)
00-0-(tan.f64 x)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
00-0-(*.f64 (tan.f64 x) (tan.f64 x))
Results
54.0ms512×0valid
Compiler

Compiled 96 to 23 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-tan: 19.0ms (59.4% of total)
ival-mult: 4.0ms (12.5% of total)
ival-sub: 3.0ms (9.4% of total)
ival-div: 3.0ms (9.4% of total)
ival-add: 3.0ms (9.4% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 16 to 7 computations (56.3% saved)

simplify122.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(tan.f64 x)
✓cost-diff0
(*.f64 (tan.f64 x) (tan.f64 x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Rules
2362×sum3-define
1672×sum4-define
1426×fma-define
1118×fnmadd-define
868×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0738
11836
23134
35434
410234
520134
641734
784834
8296534
9781834
0814934
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(- 1 (* (tan x) (tan x)))
1
(* (tan x) (tan x))
(tan x)
x
(+ 1 (* (tan x) (tan x)))
Outputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(- 1 (* (tan x) (tan x)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
1
#s(literal 1 binary64)
(* (tan x) (tan x))
(*.f64 (tan.f64 x) (tan.f64 x))
(tan x)
(tan.f64 x)
x
(+ 1 (* (tan x) (tan x)))
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

localize34.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓accuracy99.8%
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓accuracy99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓accuracy99.7%
(*.f64 (tan.f64 x) (tan.f64 x))
Results
25.0ms256×0valid
Compiler

Compiled 40 to 8 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-tan: 6.0ms (47.5% of total)
ival-div: 2.0ms (15.8% of total)
ival-mult: 2.0ms (15.8% of total)
ival-sub: 1.0ms (7.9% of total)
ival-add: 1.0ms (7.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))>
#<alt (- 1 (* (tan x) (tan x)))>
#<alt (* (tan x) (tan x))>
#<alt (tan x)>
#<alt (+ 1 (* (tan x) (tan x)))>
Outputs
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
1.0ms
x
@-inf
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
1.0ms
x
@0
(* (tan x) (tan x))
0.0ms
x
@0
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
0.0ms
x
@0
(- 1 (* (tan x) (tan x)))

rewrite289.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
2852×*-lowering-*.f32
2852×*-lowering-*.f64
2754×/-lowering-/.f32
2754×/-lowering-/.f64
1792×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0731
14631
236931
3544431
0804031
Stop Event
1×iter limit
1×node limit
Counts
5 → 503
Calls
Call 1
Inputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(- 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(tan x)
(+ 1 (* (tan x) (tan x)))
Outputs
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 (neg.f64 (/.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 #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))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (/.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) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))

simplify203.0ms (2%)

Algorithm
1×egg-herbie
Rules
3384×+-lowering-+.f64
3384×+-lowering-+.f32
2564×*-lowering-*.f32
2564×*-lowering-*.f64
1854×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
080684
1224658
2719640
32450640
44115638
57024638
08067638
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal -17/45 binary64))))))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

eval100.0ms (1%)

Compiler

Compiled 19851 to 1752 computations (91.2% saved)

prune126.0ms (1.2%)

Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New68632718
Fresh000
Picked101
Done000
Total68732719
Accuracy
100.0%
Counts
719 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
99.2%
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶99.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
▶98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
50.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
50.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 x)) #s(literal 1 binary64)))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
58.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
99.5%
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
50.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
50.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))
50.4%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
▶99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
▶54.1%
#s(literal 1 binary64)
Compiler

Compiled 1342 to 728 computations (45.8% saved)

simplify178.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓cost-diff64
(*.f64 (tan.f64 x) (tan.f64 x))
✓cost-diff64
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓cost-diff64
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓cost-diff64
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓cost-diff256
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
✓cost-diff256
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
✓cost-diff320
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓cost-diff0
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓cost-diff0
(-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓cost-diff64
(*.f64 (tan.f64 x) (tan.f64 x))
✓cost-diff64
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓cost-diff6336
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
✓cost-diff6400
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
Rules
2256×fma-lowering-fma.f32
2256×fma-lowering-fma.f64
2024×*-lowering-*.f32
2024×*-lowering-*.f64
1942×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030252
188248
2184244
3412244
41334238
55141238
08580238
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1))
(- 1 (* (tan x) (tan x)))
1
(* (tan x) (tan x))
(tan x)
x
(+ (* (tan x) (tan x)) 1)
1
(* (/ 1 (- -1 (pow (tan x) 2))) (+ (pow (tan x) 2) -1))
(/ 1 (- -1 (pow (tan x) 2)))
1
(- -1 (pow (tan x) 2))
-1
(pow (tan x) 2)
(tan x)
x
2
(+ (pow (tan x) 2) -1)
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x))))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
1
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(- 1/2 (* 1/2 (cos (* 2 x))))
1/2
(* 1/2 (cos (* 2 x)))
(cos (* 2 x))
(* 2 x)
2
x
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(tan x)
(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (* (tan x) (tan x))))
(/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))
(- 1 (pow (tan x) 4))
1
(pow (tan x) 4)
(tan x)
x
4
(+ 1 (pow (tan x) 2))
(pow (tan x) 2)
2
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
Outputs
(/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (* (tan x) (tan x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(* (tan x) (tan x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
(+ (* (tan x) (tan x)) 1)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(* (/ 1 (- -1 (pow (tan x) 2))) (+ (pow (tan x) 2) -1))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/ 1 (- -1 (pow (tan x) 2)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(- -1 (pow (tan x) 2))
(-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(+ (pow (tan x) 2) -1)
(+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 x)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
x
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* (tan x) (tan x)))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(* (tan x) (tan x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (* (tan x) (tan x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (pow (tan x) 4))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(pow (tan x) 4)
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
(tan x)
(tan.f64 x)
x
4
#s(literal 4 binary64)
(+ 1 (pow (tan x) 2))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1 (* (tan x) (tan x)))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(* (tan x) (tan x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))

localize230.0ms (2.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓accuracy99.7%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓accuracy99.7%
(*.f64 (tan.f64 x) (tan.f64 x))
✓accuracy99.3%
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
✓accuracy99.7%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
✓accuracy99.7%
(*.f64 (tan.f64 x) (tan.f64 x))
✓accuracy99.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
✓accuracy77.4%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
✓accuracy99.8%
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓accuracy99.7%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓accuracy99.8%
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
✓accuracy99.8%
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓accuracy99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
✓accuracy99.7%
(*.f64 (tan.f64 x) (tan.f64 x))
Results
88.0ms124×1valid
61.0ms132×0valid
Compiler

Compiled 266 to 31 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-add: 15.0ms (15.1% of total)
ival-div: 14.0ms (14.1% of total)
ival-mult: 13.0ms (13.1% of total)
ival-pow: 12.0ms (12.1% of total)
ival-cos: 11.0ms (11.1% of total)
ival-sub: 11.0ms (11.1% of total)
backward-pass: 10.0ms (10.1% of total)
ival-tan: 7.0ms (7.1% of total)
compiled-spec: 6.0ms (6.1% of total)
const: 1.0ms (1% of total)

series27.0ms (0.3%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1))>
#<alt (+ (* (tan x) (tan x)) 1)>
#<alt (- 1 (* (tan x) (tan x)))>
#<alt (* (tan x) (tan x))>
#<alt (* (/ 1 (- -1 (pow (tan x) 2))) (+ (pow (tan x) 2) -1))>
#<alt (/ 1 (- -1 (pow (tan x) 2)))>
#<alt (- -1 (pow (tan x) 2))>
#<alt (pow (tan x) 2)>
#<alt (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x))))>
#<alt (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (+ 1 (* (tan x) (tan x)))>
#<alt (/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (* (tan x) (tan x))))>
#<alt (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))>
#<alt (+ (pow (tan x) 2) -1)>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (pow (tan x) 4)>
Outputs
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt -1>
#<alt (- (* -1 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
Calls

54 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))
4.0ms
x
@inf
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x))))
3.0ms
x
@-inf
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x))))
2.0ms
x
@inf
(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (* (tan x) (tan x))))
1.0ms
x
@-inf
(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (* (tan x) (tan x))))

rewrite513.0ms (5%)

Algorithm
1×batch-egg-rewrite
Rules
3126×/-lowering-/.f32
3126×/-lowering-/.f64
2170×*-lowering-*.f32
2170×*-lowering-*.f64
2128×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030133
1233125
21955125
08589125
Stop Event
1×iter limit
1×node limit
Counts
18 → 1789
Calls
Call 1
Inputs
(/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1))
(+ (* (tan x) (tan x)) 1)
(- 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(* (/ 1 (- -1 (pow (tan x) 2))) (+ (pow (tan x) 2) -1))
(/ 1 (- -1 (pow (tan x) 2)))
(- -1 (pow (tan x) 2))
(pow (tan x) 2)
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x))))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(+ 1 (* (tan x) (tan x)))
(/ (/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2))) (+ 1 (* (tan x) (tan x))))
(/ (- 1 (pow (tan x) 4)) (+ 1 (pow (tan x) 2)))
(+ (pow (tan x) 2) -1)
(- 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(pow (tan x) 4)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x) (*.f64 (/.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 #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))))) (fma.f64 (/.f64 #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)) (*.f64 (/.f64 #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)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))) (fma.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))))) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x) (*.f64 (/.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 #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))))) (fma.f64 (/.f64 #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)) (*.f64 (/.f64 #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)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))) (fma.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))))) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (tan.f64 x) (*.f64 (/.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #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))))) (fma.f64 (/.f64 #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)) (*.f64 (/.f64 #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)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))) (fma.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))))) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))))))
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(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(*.f64 (cos.f64 x) (cos.f64 x))
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(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))) #s(literal 2 binary64)))
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(/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
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(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (tan.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))
(*.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))

simplify296.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
3994×*-lowering-*.f32
3994×*-lowering-*.f64
3816×+-lowering-+.f64
3816×+-lowering-+.f32
1474×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01453074
14162928
212902742
341792702
081582702
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(pow x 4)
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
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#s(literal 1 binary64)
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(pow x 2)
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#s(literal -1 binary64)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/45 binary64))))))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal -1/315 binary64))))))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 6/5 binary64) (*.f64 (*.f64 x x) #s(literal 848/945 binary64))))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))

eval424.0ms (4.2%)

Compiler

Compiled 102175 to 4339 computations (95.8% saved)

prune277.0ms (2.7%)

Pruning

41 alts after pruning (39 fresh and 2 done)

PrunedKeptTotal
New2508232531
Fresh111627
Picked325
Done000
Total2522412563
Accuracy
100.0%
Counts
2563 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
99.2%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
▶99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
▶55.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
▶99.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
98.8%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
58.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64))
55.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
50.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal -1/315 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
50.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
50.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
99.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
98.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(-.f64 (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
50.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
50.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
▶50.4%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
▶99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
49.9%
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/45 binary64))))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
58.6%
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓54.1%
#s(literal 1 binary64)
Compiler

Compiled 1892 to 1080 computations (42.9% saved)

simplify181.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
✓cost-diff6336
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
✓cost-diff6592
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
✓cost-diff0
(-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓cost-diff192
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64)))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))))))))
✓cost-diff64
(*.f64 (tan.f64 x) (tan.f64 x))
✓cost-diff64
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓cost-diff64
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal -2 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
✓cost-diff256
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))
✓cost-diff256
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
✓cost-diff256
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
✓cost-diff512
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
Rules
1986×*-lowering-*.f32
1986×*-lowering-*.f64
1476×fma-lowering-fma.f32
1476×fma-lowering-fma.f64
1456×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052512
1148486
2396474
31355446
45162446
08054446
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
1
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(- 1/2 (* 1/2 (cos (* 2 x))))
1/2
(* 1/2 (cos (* 2 x)))
(cos (* 2 x))
(* 2 x)
2
x
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2)))
(/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))
(- -1/2 (* (cos (* x 2)) -1/2))
-1/2
(* (cos (* x 2)) -1/2)
(cos (* x 2))
(* x 2)
(+ (* (cos (* x 2)) -1/2) -1/2)
(+ 1 (* -2 (* x x)))
1
(* -2 (* x x))
-2
(* x x)
x
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45))))))))) (+ 1 (* (tan x) (tan x))))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45)))))))))
1
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45))))))))
(- 1/2 (* 1/2 (cos (* 2 x))))
1/2
(* 1/2 (cos (* 2 x)))
(cos (* 2 x))
(* 2 x)
2
x
(+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45)))))))
(* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45))))))
(* x x)
(+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45)))))
-1
(* x (* x (+ 1/3 (* (* x x) -2/45))))
(* x (+ 1/3 (* (* x x) -2/45)))
(+ 1/3 (* (* x x) -2/45))
1/3
(* (* x x) -2/45)
-2/45
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(tan x)
(* (/ 1 (- -1 (pow (tan x) 2))) (* (+ (tan x) 1) (- (tan x) 1)))
(/ 1 (- -1 (pow (tan x) 2)))
1
(- -1 (pow (tan x) 2))
-1
(pow (tan x) 2)
(tan x)
x
2
(* (+ (tan x) 1) (- (tan x) 1))
(+ (tan x) 1)
(- (tan x) 1)
(/ (/ 1 (/ 1 (- 1 (pow (tan x) 2)))) (+ (* (tan x) (tan x)) 1))
(/ 1 (/ 1 (- 1 (pow (tan x) 2))))
1
(/ 1 (- 1 (pow (tan x) 2)))
(- 1 (pow (tan x) 2))
(pow (tan x) 2)
(tan x)
x
2
(+ (* (tan x) (tan x)) 1)
Outputs
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
1
#s(literal 1 binary64)
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 x)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(+ 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(- -1/2 (* (cos (* x 2)) -1/2))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (cos (* x 2)) -1/2)
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos (* x 2))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(* x 2)
(*.f64 #s(literal 2 binary64) x)
(+ (* (cos (* x 2)) -1/2) -1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(+ 1 (* -2 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* -2 (* x x))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
-2
#s(literal -2 binary64)
(* x x)
(*.f64 x x)
x
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45))))))))) (+ 1 (* (tan x) (tan x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45)))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))))))))
1
#s(literal 1 binary64)
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 x)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))))))
(* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45))))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45)))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
-1
#s(literal -1 binary64)
(* x (* x (+ 1/3 (* (* x x) -2/45))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))
(* x (+ 1/3 (* (* x x) -2/45)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))
(+ 1/3 (* (* x x) -2/45))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))
1/3
#s(literal 1/3 binary64)
(* (* x x) -2/45)
(*.f64 (*.f64 x x) #s(literal -2/45 binary64))
-2/45
#s(literal -2/45 binary64)
(+ 1 (* (tan x) (tan x)))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(* (tan x) (tan x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
(* (/ 1 (- -1 (pow (tan x) 2))) (* (+ (tan x) 1) (- (tan x) 1)))
(/.f64 (+.f64 (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))))
(/ 1 (- -1 (pow (tan x) 2)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(- -1 (pow (tan x) 2))
(-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(* (+ (tan x) 1) (- (tan x) 1))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(+ (tan x) 1)
(+.f64 #s(literal 1 binary64) (tan.f64 x))
(- (tan x) 1)
(+.f64 #s(literal -1 binary64) (tan.f64 x))
(/ (/ 1 (/ 1 (- 1 (pow (tan x) 2)))) (+ (* (tan x) (tan x)) 1))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/ 1 (/ 1 (- 1 (pow (tan x) 2))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(/ 1 (- 1 (pow (tan x) 2)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (pow (tan x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(+ (* (tan x) (tan x)) 1)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))

localize354.0ms (3.5%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
✓accuracy99.7%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓accuracy99.7%
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64)))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
✓accuracy99.7%
(+.f64 (tan.f64 x) #s(literal 1 binary64))
✓accuracy99.7%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -2/45 binary64))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))
✓accuracy99.7%
(*.f64 (tan.f64 x) (tan.f64 x))
✓accuracy77.4%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 x x))
✓accuracy99.3%
(+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
✓accuracy99.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
✓accuracy77.4%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
✓accuracy77.4%
(-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
Results
168.0ms124×1valid
80.0ms132×0valid
Compiler

Compiled 531 to 53 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-mult: 36.0ms (23% of total)
ival-div: 23.0ms (14.7% of total)
backward-pass: 19.0ms (12.1% of total)
ival-add: 18.0ms (11.5% of total)
ival-cos: 18.0ms (11.5% of total)
ival-sub: 13.0ms (8.3% of total)
...c/correct-round.rkt:119:19: 11.0ms (7% of total)
ival-tan: 8.0ms (5.1% of total)
compiled-spec: 6.0ms (3.8% of total)
ival-pow: 4.0ms (2.6% of total)
const: 1.0ms (0.6% of total)

series24.0ms (0.2%)

Counts
28 → 336
Calls
Call 1
Inputs
#<alt (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))))>
#<alt (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (+ 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2)))>
#<alt (+ 1 (* -2 (* x x)))>
#<alt (* -2 (* x x))>
#<alt (* x x)>
#<alt (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45))))))))) (+ 1 (* (tan x) (tan x))))>
#<alt (+ 1 (* (tan x) (tan x)))>
#<alt (* (tan x) (tan x))>
#<alt (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45)))))))))>
#<alt (* (/ 1 (- -1 (pow (tan x) 2))) (* (+ (tan x) 1) (- (tan x) 1)))>
#<alt (* (+ (tan x) 1) (- (tan x) 1))>
#<alt (/ 1 (- -1 (pow (tan x) 2)))>
#<alt (- -1 (pow (tan x) 2))>
#<alt (/ (/ 1 (/ 1 (- 1 (pow (tan x) 2)))) (+ (* (tan x) (tan x)) 1))>
#<alt (+ (* (tan x) (tan x)) 1)>
#<alt (/ 1 (/ 1 (- 1 (pow (tan x) 2))))>
#<alt (/ 1 (- 1 (pow (tan x) 2)))>
#<alt (- -1/2 (* (cos (* x 2)) -1/2))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ (* (cos (* x 2)) -1/2) -1/2)>
#<alt (* x (+ 1/3 (* (* x x) -2/45)))>
#<alt (* (* x x) -2/45)>
#<alt (pow (tan x) 2)>
#<alt (+ (tan x) 1)>
#<alt (- 1 (pow (tan x) 2))>
Outputs
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
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#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)>
#<alt (- (* -1/2 (cos (* 2 x))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 x))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 x))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 x))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 x))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 x))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 x))) 1/2)>
#<alt (- (* -1/2 (cos (* 2 x))) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -2/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* -2/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* -2/45 (pow x 2))))>
#<alt (* -2/45 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/45))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/45))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/45))>
#<alt (* -2/45 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 2/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 2/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -2/45 (pow x 2))>
#<alt (* -2/45 (pow x 2))>
#<alt (* -2/45 (pow x 2))>
#<alt (* -2/45 (pow x 2))>
#<alt (* -2/45 (pow x 2))>
#<alt (* -2/45 (pow x 2))>
#<alt (* -2/45 (pow x 2))>
#<alt (* -2/45 (pow x 2))>
#<alt (* -2/45 (pow x 2))>
#<alt (* -2/45 (pow x 2))>
#<alt (* -2/45 (pow x 2))>
#<alt (* -2/45 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))>
#<alt (+ 1 (/ (sin x) (cos x)))>
#<alt (+ 1 (/ (sin x) (cos x)))>
#<alt (+ 1 (/ (sin x) (cos x)))>
#<alt (+ 1 (/ (sin x) (cos x)))>
#<alt (+ 1 (/ (sin x) (cos x)))>
#<alt (+ 1 (/ (sin x) (cos x)))>
#<alt (+ 1 (/ (sin x) (cos x)))>
#<alt (+ 1 (/ (sin x) (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
Calls

84 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45))))))))) (+ 1 (* (tan x) (tan x))))
2.0ms
x
@inf
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))))
2.0ms
x
@-inf
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))))
1.0ms
x
@inf
(* (/ 1 (- -1 (pow (tan x) 2))) (* (+ (tan x) 1) (- (tan x) 1)))
1.0ms
x
@-inf
(* (/ 1 (- -1 (pow (tan x) 2))) (* (+ (tan x) 1) (- (tan x) 1)))

rewrite338.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
3018×*-lowering-*.f32
3018×*-lowering-*.f64
2242×fma-lowering-fma.f32
2242×fma-lowering-fma.f64
1516×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052436
1384215
23860211
08131211
Stop Event
1×iter limit
1×node limit
Counts
28 → 1225
Calls
Call 1
Inputs
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(+ 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2)))
(+ 1 (* -2 (* x x)))
(* -2 (* x x))
(* x x)
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45))))))))) (+ 1 (* (tan x) (tan x))))
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (* (* x x) (+ -1 (* x (* x (+ 1/3 (* (* x x) -2/45)))))))))
(* (/ 1 (- -1 (pow (tan x) 2))) (* (+ (tan x) 1) (- (tan x) 1)))
(* (+ (tan x) 1) (- (tan x) 1))
(/ 1 (- -1 (pow (tan x) 2)))
(- -1 (pow (tan x) 2))
(/ (/ 1 (/ 1 (- 1 (pow (tan x) 2)))) (+ (* (tan x) (tan x)) 1))
(+ (* (tan x) (tan x)) 1)
(/ 1 (/ 1 (- 1 (pow (tan x) 2))))
(/ 1 (- 1 (pow (tan x) 2)))
(- -1/2 (* (cos (* x 2)) -1/2))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ (* (cos (* x 2)) -1/2) -1/2)
(* x (+ 1/3 (* (* x x) -2/45)))
(* (* x x) -2/45)
(pow (tan x) 2)
(+ (tan x) 1)
(- 1 (pow (tan x) 2))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (tan.f64 x) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (tan.f64 x) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -3 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.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))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (tan.f64 x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (tan.f64 x))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)))
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.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) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
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simplify284.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
3962×*-lowering-*.f32
3962×*-lowering-*.f64
3614×+-lowering-+.f64
3614×+-lowering-+.f32
1338×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02394573
17034327
222474064
082464064
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2))))
(+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ (* -45/4 (/ (cos (* 2 x)) (* (pow x 6) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ 45/4 (* (pow x 6) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(+ (* -675/8 (/ (cos (* 2 x)) (* (pow x 8) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -45/4 (/ (cos (* 2 x)) (* (pow x 6) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 675/8 (/ 1 (* (pow x 8) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ 45/4 (* (pow x 6) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
(+ (* -675/8 (/ (cos (* 2 x)) (* (pow x 8) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -45/4 (/ (cos (* 2 x)) (* (pow x 6) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1/2 (/ (+ (* -2025/4 (cos (* 2 x))) (* 10125/8 (cos (* 2 x)))) (* (pow x 10) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 675/8 (/ 1 (* (pow x 8) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (/ 45/4 (* (pow x 6) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ 6075/16 (* (pow x 10) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ (* -45/4 (/ (cos (* 2 x)) (* (pow x 6) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ 45/4 (* (pow x 6) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(+ (* -675/8 (/ (cos (* 2 x)) (* (pow x 8) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -45/4 (/ (cos (* 2 x)) (* (pow x 6) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 675/8 (/ 1 (* (pow x 8) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ 45/4 (* (pow x 6) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
(+ (* -675/8 (/ (cos (* 2 x)) (* (pow x 8) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -45/4 (/ (cos (* 2 x)) (* (pow x 6) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1/2 (/ (+ (* -2025/4 (cos (* 2 x))) (* 10125/8 (cos (* 2 x)))) (* (pow x 10) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 675/8 (/ 1 (* (pow x 8) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (/ 45/4 (* (pow x 6) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ 6075/16 (* (pow x 10) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
1
(+ 1 (+ (* -45/4 (/ (cos (* 2 x)) (pow x 6))) (* 45/4 (/ 1 (pow x 6)))))
(+ 1 (+ (* -675/8 (/ (cos (* 2 x)) (pow x 8))) (+ (* -45/4 (/ (cos (* 2 x)) (pow x 6))) (+ (* 45/4 (/ 1 (pow x 6))) (/ 675/8 (pow x 8))))))
(+ 1 (+ (* -675/8 (/ (cos (* 2 x)) (pow x 8))) (+ (* -45/4 (/ (cos (* 2 x)) (pow x 6))) (+ (* -1/2 (/ (+ (* -2025/4 (cos (* 2 x))) (* 10125/8 (cos (* 2 x)))) (pow x 10))) (+ (* 45/4 (/ 1 (pow x 6))) (+ (* 6075/16 (/ 1 (pow x 10))) (/ 675/8 (pow x 8))))))))
1
(+ 1 (+ (* -45/4 (/ (cos (* 2 x)) (pow x 6))) (* 45/4 (/ 1 (pow x 6)))))
(+ 1 (+ (* -675/8 (/ (cos (* 2 x)) (pow x 8))) (+ (* -45/4 (/ (cos (* 2 x)) (pow x 6))) (+ (* 45/4 (/ 1 (pow x 6))) (/ 675/8 (pow x 8))))))
(+ 1 (+ (* -675/8 (/ (cos (* 2 x)) (pow x 8))) (+ (* -45/4 (/ (cos (* 2 x)) (pow x 6))) (+ (* -1/2 (/ (+ (* -2025/4 (cos (* 2 x))) (* 10125/8 (cos (* 2 x)))) (pow x 10))) (+ (* 45/4 (/ 1 (pow x 6))) (+ (* 6075/16 (/ 1 (pow x 10))) (/ 675/8 (pow x 8))))))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -1 (/ (* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)
(* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1))
(* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1))
(* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1))
(* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1))
(* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1))
(* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1))
(* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1))
(* (+ 1 (/ (sin x) (cos x))) (- (/ (sin x) (cos x)) 1))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 5/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 122/45 (pow x 2)))))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(* 1/3 x)
(* x (+ 1/3 (* -2/45 (pow x 2))))
(* x (+ 1/3 (* -2/45 (pow x 2))))
(* x (+ 1/3 (* -2/45 (pow x 2))))
(* -2/45 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/45))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/45))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/45))
(* -2/45 (pow x 3))
(* -1 (* (pow x 3) (- 2/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 2/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 2/45 (* 1/3 (/ 1 (pow x 2))))))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(* -2/45 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
(+ 1 (/ (sin x) (cos x)))
(+ 1 (/ (sin x) (cos x)))
(+ 1 (/ (sin x) (cos x)))
(+ 1 (/ (sin x) (cos x)))
(+ 1 (/ (sin x) (cos x)))
(+ 1 (/ (sin x) (cos x)))
(+ 1 (/ (sin x) (cos x)))
(+ 1 (/ (sin x) (cos x)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
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1
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(+ 1/2 (* 1/2 (cos (* 2 x))))
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-1
#s(literal -1 binary64)
(- (pow x 2) 1)
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(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
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(- (* -1/2 (cos (* 2 x))) 1/2)
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(- (* -1/2 (cos (* 2 x))) 1/2)
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(- (* -1/2 (cos (* 2 x))) 1/2)
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(- (* -1/2 (cos (* 2 x))) 1/2)
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(- (* -1/2 (cos (* 2 x))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- (* -1/2 (cos (* 2 x))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- (* -1/2 (cos (* 2 x))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- (* -1/2 (cos (* 2 x))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -2/45 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal -2/45 binary64)))))
(* x (+ 1/3 (* -2/45 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal -2/45 binary64)))))
(* x (+ 1/3 (* -2/45 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal -2/45 binary64)))))
(* -2/45 (pow x 3))
(*.f64 #s(literal -2/45 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/45))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -2/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/45))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -2/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/45))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -2/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* -2/45 (pow x 3))
(*.f64 #s(literal -2/45 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2/45 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 2/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- 2/45 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 2/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- 2/45 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 2/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(* -2/45 (pow x 2))
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(* -2/45 (pow x 2))
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(* -2/45 (pow x 2))
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(* -2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2/45 binary64)))
(* -2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2/45 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
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(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(+ 1 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))))
(+ 1 (/ (sin x) (cos x)))
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1
#s(literal 1 binary64)
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(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
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(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

eval242.0ms (2.4%)

Compiler

Compiled 61253 to 4006 computations (93.5% saved)

prune241.0ms (2.4%)

Pruning

49 alts after pruning (44 fresh and 5 done)

PrunedKeptTotal
New1717151732
Fresh52934
Picked235
Done022
Total1724491773
Accuracy
100.0%
Counts
1773 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
99.2%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶58.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
49.9%
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
51.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))))))
50.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
98.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
✓99.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
60.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
▶98.8%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
58.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64))
55.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
50.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal -1/315 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
49.8%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal -1/315 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
99.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
98.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
49.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
49.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
99.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
99.3%
(-.f64 (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
50.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
50.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
✓50.4%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
99.5%
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (tan.f64 x)))
▶99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
▶99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
55.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
99.4%
(*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
58.6%
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
58.6%
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
▶2.6%
(*.f64 #s(literal -2 binary64) (*.f64 x x))
✓54.1%
#s(literal 1 binary64)
Compiler

Compiled 2194 to 1264 computations (42.4% saved)

simplify161.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
✓cost-diff256
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
✓cost-diff256
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
✓cost-diff256
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
✓cost-diff0
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓cost-diff0
(-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal -2 binary64) (*.f64 x x))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (tan.f64 x))
✓cost-diff6464
(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal -1 binary64))
✓cost-diff6464
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal -1 binary64)))
✓cost-diff6592
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
Rules
3786×*-lowering-*.f32
3786×*-lowering-*.f64
1222×times-frac
1100×/-lowering-/.f32
1100×/-lowering-/.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036266
198255
2222251
3445251
41184245
54885245
08243245
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1 (+ (* (- 0 (tan x)) (tan x)) -1)) (+ (pow (tan x) 2) -1))
(/ 1 (+ (* (- 0 (tan x)) (tan x)) -1))
1
(+ (* (- 0 (tan x)) (tan x)) -1)
(- 0 (tan x))
0
(tan x)
x
-1
(+ (pow (tan x) 2) -1)
(pow (tan x) 2)
2
(* -2 (* x x))
-2
(* x x)
x
(/ (/ 1 (/ 1 (- 1 (pow (tan x) 2)))) 1)
(/ 1 (/ 1 (- 1 (pow (tan x) 2))))
1
(/ 1 (- 1 (pow (tan x) 2)))
(- 1 (pow (tan x) 2))
(pow (tan x) 2)
(tan x)
x
2
(* (/ 1 (- -1 (pow (tan x) 2))) (+ (/ 1 (pow (tan x) -2)) -1))
(/ 1 (- -1 (pow (tan x) 2)))
1
(- -1 (pow (tan x) 2))
-1
(pow (tan x) 2)
(tan x)
x
2
(+ (/ 1 (pow (tan x) -2)) -1)
(/ 1 (pow (tan x) -2))
(pow (tan x) -2)
-2
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ 1 (pow (tan x) -2))))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
1
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(- 1/2 (* 1/2 (cos (* 2 x))))
1/2
(* 1/2 (cos (* 2 x)))
(cos (* 2 x))
(* 2 x)
2
x
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1 (/ 1 (pow (tan x) -2)))
(/ 1 (pow (tan x) -2))
(pow (tan x) -2)
(tan x)
-2
Outputs
(* (/ 1 (+ (* (- 0 (tan x)) (tan x)) -1)) (+ (pow (tan x) 2) -1))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/ 1 (+ (* (- 0 (tan x)) (tan x)) -1))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ (* (- 0 (tan x)) (tan x)) -1)
(-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(- 0 (tan x))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
0
#s(literal 0 binary64)
(tan x)
(tan.f64 x)
x
-1
#s(literal -1 binary64)
(+ (pow (tan x) 2) -1)
(+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* -2 (* x x))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(* x x)
(*.f64 x x)
x
(/ (/ 1 (/ 1 (- 1 (pow (tan x) 2)))) 1)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/ 1 (/ 1 (- 1 (pow (tan x) 2))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(/ 1 (- 1 (pow (tan x) 2)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (pow (tan x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(* (/ 1 (- -1 (pow (tan x) 2))) (+ (/ 1 (pow (tan x) -2)) -1))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/ 1 (- -1 (pow (tan x) 2)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(- -1 (pow (tan x) 2))
(-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(+ (/ 1 (pow (tan x) -2)) -1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/ 1 (pow (tan x) -2))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(pow (tan x) -2)
(pow.f64 (tan.f64 x) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ 1 (pow (tan x) -2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 x)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
x
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1 (/ 1 (pow (tan x) -2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/ 1 (pow (tan x) -2))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(pow (tan x) -2)
(pow.f64 (tan.f64 x) #s(literal -2 binary64))
(tan x)
(tan.f64 x)
-2
#s(literal -2 binary64)

localize255.0ms (2.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(pow.f64 (tan.f64 x) #s(literal -2 binary64))
✓accuracy99.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
✓accuracy77.4%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
✓accuracy99.7%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓accuracy99.6%
(pow.f64 (tan.f64 x) #s(literal -2 binary64))
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓accuracy99.8%
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
✓accuracy99.7%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 x x))
✓accuracy99.8%
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal -1 binary64)))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓accuracy99.7%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
Results
112.0ms124×1valid
74.0ms132×0valid
Compiler

Compiled 291 to 36 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-div: 20.0ms (17.6% of total)
ival-mult: 19.0ms (16.7% of total)
ival-pow: 15.0ms (13.2% of total)
ival-cos: 11.0ms (9.7% of total)
backward-pass: 11.0ms (9.7% of total)
ival-sub: 10.0ms (8.8% of total)
ival-add: 9.0ms (7.9% of total)
ival-tan: 9.0ms (7.9% of total)
compiled-spec: 8.0ms (7.1% of total)
const: 1.0ms (0.9% of total)

series18.0ms (0.2%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* (/ 1 (+ (* (- 0 (tan x)) (tan x)) -1)) (+ (pow (tan x) 2) -1))>
#<alt (/ 1 (+ (* (- 0 (tan x)) (tan x)) -1))>
#<alt (+ (* (- 0 (tan x)) (tan x)) -1)>
#<alt (- 0 (tan x))>
#<alt (* -2 (* x x))>
#<alt (* x x)>
#<alt (/ (/ 1 (/ 1 (- 1 (pow (tan x) 2)))) 1)>
#<alt (/ 1 (/ 1 (- 1 (pow (tan x) 2))))>
#<alt (/ 1 (- 1 (pow (tan x) 2)))>
#<alt (- 1 (pow (tan x) 2))>
#<alt (* (/ 1 (- -1 (pow (tan x) 2))) (+ (/ 1 (pow (tan x) -2)) -1))>
#<alt (/ 1 (- -1 (pow (tan x) 2)))>
#<alt (- -1 (pow (tan x) 2))>
#<alt (pow (tan x) 2)>
#<alt (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ 1 (pow (tan x) -2))))>
#<alt (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ (pow (tan x) 2) -1)>
#<alt (/ 1 (pow (tan x) -2))>
#<alt (pow (tan x) -2)>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
Outputs
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)>
#<alt (/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt (/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))>
#<alt -1>
#<alt (- (* -1 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)>
#<alt (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)>
#<alt (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)>
#<alt (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)>
#<alt (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)>
#<alt (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)>
#<alt (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)>
#<alt (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)>
#<alt (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* -1/3 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 5/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 122/45 (pow x 2)))))))>
#<alt (/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt -1>
#<alt (- (* -1 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
Calls

66 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(pow (tan x) -2)
1.0ms
x
@inf
(* (/ 1 (+ (* (- 0 (tan x)) (tan x)) -1)) (+ (pow (tan x) 2) -1))
1.0ms
x
@-inf
(* (/ 1 (+ (* (- 0 (tan x)) (tan x)) -1)) (+ (pow (tan x) 2) -1))
1.0ms
x
@-inf
(/ 1 (+ (* (- 0 (tan x)) (tan x)) -1))
1.0ms
x
@inf
(pow (tan x) -2)

rewrite392.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
1970×/-lowering-/.f32
1970×/-lowering-/.f64
1624×*-lowering-*.f32
1624×*-lowering-*.f64
1438×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036161
1253137
22241136
09884136
Stop Event
1×iter limit
1×node limit
Counts
22 → 2336
Calls
Call 1
Inputs
(* (/ 1 (+ (* (- 0 (tan x)) (tan x)) -1)) (+ (pow (tan x) 2) -1))
(/ 1 (+ (* (- 0 (tan x)) (tan x)) -1))
(+ (* (- 0 (tan x)) (tan x)) -1)
(- 0 (tan x))
(* -2 (* x x))
(* x x)
(/ (/ 1 (/ 1 (- 1 (pow (tan x) 2)))) 1)
(/ 1 (/ 1 (- 1 (pow (tan x) 2))))
(/ 1 (- 1 (pow (tan x) 2)))
(- 1 (pow (tan x) 2))
(* (/ 1 (- -1 (pow (tan x) 2))) (+ (/ 1 (pow (tan x) -2)) -1))
(/ 1 (- -1 (pow (tan x) 2)))
(- -1 (pow (tan x) 2))
(pow (tan x) 2)
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ 1 (pow (tan x) -2))))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+ (pow (tan x) 2) -1)
(/ 1 (pow (tan x) -2))
(pow (tan x) -2)
(+ 1/2 (* 1/2 (cos (* 2 x))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 #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)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.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) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.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) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
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(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) #s(literal -1 binary64))
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))

simplify317.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
3796×+-lowering-+.f64
3796×+-lowering-+.f32
3748×*-lowering-*.f32
3748×*-lowering-*.f64
1566×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01703215
14723024
213752842
341402804
478662804
086282804
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 5/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 122/45 (pow x 2)))))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/45 binary64))))))))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ 1 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x x))
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -2/3 binary64)))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal -17/45 binary64)))))))
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/3 (pow x 2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/15 binary64))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -2/3 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal -17/45 binary64)))))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(+ 1 (pow x 2))
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#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
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#s(literal 1 binary64)
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-1
#s(literal -1 binary64)
(- (pow x 2) 1)
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(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
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(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
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(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
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(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))
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1
#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))

eval477.0ms (4.7%)

Compiler

Compiled 100052 to 5717 computations (94.3% saved)

prune392.0ms (3.8%)

Pruning

60 alts after pruning (53 fresh and 7 done)

PrunedKeptTotal
New3129243153
Fresh102939
Picked325
Done055
Total3142603202
Accuracy
100.0%
Counts
3202 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.6%
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
58.6%
(fma.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
98.9%
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
99.4%
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
99.2%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
58.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
58.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))) #s(literal 1 binary64))
✓99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
✓58.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
58.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))))) #s(literal 1 binary64))
58.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) #s(literal 1 binary64))
58.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
58.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) #s(literal 1 binary64))
58.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))) #s(literal 1 binary64))
58.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))) #s(literal 1 binary64))
58.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
58.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))))) #s(literal 1 binary64))
53.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))))) #s(literal 1 binary64))
99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
50.7%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
51.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))))))
98.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
✓99.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
60.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
54.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))) (*.f64 x x)))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))
58.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64))
55.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
99.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
98.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
58.6%
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
50.1%
(-.f64 #s(literal 1 binary64) (*.f64 x x))
50.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
50.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
✓50.4%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
99.5%
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (tan.f64 x)))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
52.6%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 2/189 binary64)))))))) (*.f64 x x))) #s(literal -1 binary64)))
55.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
99.4%
(*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
58.6%
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
58.6%
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
✓54.1%
#s(literal 1 binary64)
Compiler

Compiled 3365 to 1203 computations (64.2% saved)

regimes105.0ms (1%)

Counts
95 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #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 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
Calls

4 calls:

25.0ms
x
25.0ms
(tan.f64 x)
24.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
22.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.6%1(*.f64 (tan.f64 x) (tan.f64 x))
99.6%1(tan.f64 x)
Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes78.0ms (0.8%)

Counts
68 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/45 binary64))))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 2/189 binary64)))))))) (*.f64 x x))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal -1/315 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal -1/315 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
Calls

4 calls:

18.0ms
(tan.f64 x)
17.0ms
x
17.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
17.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(tan.f64 x)
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%1(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes64.0ms (0.6%)

Counts
56 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/45 binary64))))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 2/189 binary64)))))))) (*.f64 x x))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal -1/315 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal -1/315 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
Calls

4 calls:

15.0ms
x
15.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
14.0ms
(tan.f64 x)
14.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%1(*.f64 (tan.f64 x) (tan.f64 x))
99.5%1(tan.f64 x)
Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes40.0ms (0.4%)

Counts
44 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/45 binary64))))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 2/189 binary64)))))))) (*.f64 x x))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal -1/315 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal -1/315 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
Calls

3 calls:

12.0ms
x
11.0ms
(tan.f64 x)
10.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
60.4%1(tan.f64 x)
60.4%1x
60.4%1(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 11 to 6 computations (45.5% saved)

regimes34.0ms (0.3%)

Counts
40 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/45 binary64))))))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 2/189 binary64)))))))) (*.f64 x x))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal -1/315 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))) #s(literal 1 binary64))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
Calls

3 calls:

11.0ms
(tan.f64 x)
10.0ms
x
9.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
58.6%1(*.f64 (tan.f64 x) (tan.f64 x))
58.6%1(tan.f64 x)
58.6%1x
Compiler

Compiled 11 to 6 computations (45.5% saved)

regimes21.0ms (0.2%)

Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (-.f64 (tan.f64 x) #s(literal 1 binary64))))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
Calls

3 calls:

9.0ms
(tan.f64 x)
5.0ms
x
5.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
58.6%1x
58.6%1(tan.f64 x)
58.6%1(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 11 to 6 computations (45.5% saved)

regimes5.0ms (0%)

Accuracy

Total -33.7b remaining (-114.9%)

Threshold costs -33.7b (-114.9%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) #s(literal 62/315 binary64)))))))))))
Outputs
#s(literal 1 binary64)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
54.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
92×unsub-neg_binary64
62×neg-mul-1_binary64
58×distribute-lft-neg-in_binary64
42×+-commutative_binary64
36×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034118
161118
290118
3113118
4148118
5189118
6218118
7270118
8316118
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.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)))
#s(literal 1 binary64)
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.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) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)

soundness1.6s (15.7%)

Rules
3962×*-lowering-*.f32
3962×*-lowering-*.f64
3614×+-lowering-+.f64
3614×+-lowering-+.f32
3384×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080684
1224658
2719640
32450640
44115638
57024638
08067638
030133
1233125
21955125
08589125
02394573
17034327
222474064
082464064
0731
14631
236931
3544431
0804031
036161
1253137
22241136
09884136
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 292 to 134 computations (54.1% saved)

preprocess59.0ms (0.6%)

Remove

(abs x)

Compiler

Compiled 590 to 220 computations (62.7% saved)

end0.0ms (0%)

Profiling

Loading profile data...