Trigonometry B

Time bar (total: 10.2s)

analyze204.0ms (2%)

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: 80.0ms
ival-mult: 34.0ms (42.3% of total)
ival-tan: 19.0ms (23.6% of total)
ival-sub: 10.0ms (12.4% of total)
ival-add: 10.0ms (12.4% of total)
ival-div: 4.0ms (5% of total)
const: 2.0ms (2.5% of total)
backward-pass: 1.0ms (1.2% of total)

sample910.0ms (8.9%)

Results
694.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 453.0ms
ival-tan: 212.0ms (46.8% of total)
ival-mult: 68.0ms (15% of total)
ival-div: 67.0ms (14.8% of total)
ival-sub: 52.0ms (11.5% of total)
ival-add: 41.0ms (9% of total)
const: 11.0ms (2.4% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess79.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
686×fnmadd-define
662×fnmadd-define
610×fma-define
596×sum3-define
500×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01436
14533
29133
321033
450733
5110233
6207033
7222533
0711
11911
23211
35511
410011
518911
636111
753611
8119811
9198311
10265911
11267911
0267911
Stop Event
1×iter limit
1×saturated
1×saturated
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))))
(/ (- 1 (square (tan x))) (+ 1 (square (tan x))))
(/ (- 1 (* (tan (neg x)) (tan (neg x)))) (+ 1 (* (tan (neg x)) (tan (neg x)))))
(/ (- 1 (square (tan x))) (+ 1 (square (tan x))))
(neg (/ (- 1 (* (tan (neg x)) (tan (neg x)))) (+ 1 (* (tan (neg x)) (tan (neg x))))))
(/ (- 1 (square (tan x))) (- -1 (square (tan x))))
Symmetry

(abs x)

explain98.0ms (1%)

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
62.0ms512×0valid
Compiler

Compiled 96 to 23 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-tan: 15.0ms (52.2% of total)
ival-mult: 4.0ms (13.9% of total)
ival-sub: 3.0ms (10.4% of total)
ival-div: 3.0ms (10.4% of total)
ival-add: 3.0ms (10.4% of total)
const: 1.0ms (3.5% 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
▶99.6%
(/.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)

simplify44.0ms (0.4%)

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
686×fnmadd-define
610×fma-define
596×sum3-define
492×fmsub-define
458×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
11928
23228
35528
410028
518928
636128
753628
8119828
9198328
10265928
11267928
0267928
Stop Event
1×iter limit
1×saturated
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)))

localize42.0ms (0.4%)

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)))
✓accuracy99.7%
(/.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))))
✓accuracy99.5%
(*.f64 (tan.f64 x) (tan.f64 x))
Results
31.0ms256×0valid
Compiler

Compiled 40 to 8 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-tan: 6.0ms (46.1% of total)
ival-div: 2.0ms (15.4% of total)
ival-mult: 2.0ms (15.4% of total)
ival-sub: 1.0ms (7.7% of total)
ival-add: 1.0ms (7.7% 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)))

rewrite239.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
2150×*-lowering-*.f32
2150×*-lowering-*.f64
1970×fma-lowering-fma.f32
1970×fma-lowering-fma.f64
1938×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0726
13026
211026
370126
4477526
0844926
Stop Event
1×iter limit
1×node limit
Counts
5 → 400
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 (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 (-.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 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (sin.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 #s(literal 1 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 (-.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)) (-.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))))) #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)))) (+.f64 (+.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 (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 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)))))
(+.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 (/.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 (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 (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 (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 (/.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 #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) (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))) (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 -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) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #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)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 0 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)))))
(exp.f64 (*.f64 #s(literal -1 binary64) (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)))))))
(-.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)))))
(-.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 (/.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 (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)))))
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(fma.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.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 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.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 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 #s(literal 0 binary64)))) #s(literal 2 binary64) #s(literal 1 binary64))
(neg.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) (+.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 (-.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)))))
(pow.f64 (+.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) (+.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) (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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))

simplify196.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
3038×+-lowering-+.f64
3038×+-lowering-+.f32
2740×*-lowering-*.f32
2740×*-lowering-*.f64
1854×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080684
1224546
2722500
32449500
44105500
56984500
08132500
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 (*.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 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 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 (*.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 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 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
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 (*.f64 x 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 x (*.f64 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))))

eval80.0ms (0.8%)

Compiler

Compiled 15918 to 1558 computations (90.2% saved)

prune110.0ms (1.1%)

Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New65130681
Fresh000
Picked101
Done000
Total65230682
Accuracy
100.0%
Counts
682 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 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)))))) #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%
(fma.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.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)))))
99.4%
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal -1 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))))
99.4%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶99.6%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.8%
(/.f64 (fma.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 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.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))))
99.5%
(/.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))))) (+.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 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 (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) (pow.f64 (tan.f64 x) #s(literal 2 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 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
98.8%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (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 #s(literal 1 binary64) (pow.f64 (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 #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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
▶99.4%
(/.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 (tan.f64 x) (tan.f64 x))))
99.6%
(/.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))))
98.8%
(/.f64 (-.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 #s(literal 1/2 binary64) (cos.f64 (*.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 #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))))
98.8%
(/.f64 (-.f64 #s(literal 1 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)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
98.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.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 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
▶99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (tan.f64 x))))
98.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 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)))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))))
57.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
76.0%
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 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)))))
99.5%
(/.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 (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)))))
48.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
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)))
73.2%
(exp.f64 (*.f64 #s(literal -1 binary64) (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)))))))
▶53.2%
#s(literal 1 binary64)
Compiler

Compiled 1402 to 754 computations (46.2% saved)

simplify147.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(tan.f64 x)
✓cost-diff0
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓cost-diff13120
(-.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)))))
✓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 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (tan.f64 x))))
✓cost-diff64
(*.f64 (tan.f64 x) (tan.f64 x))
✓cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
✓cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64)))
✓cost-diff0
(/.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 (tan.f64 x) (tan.f64 x))))
✓cost-diff64
(*.f64 (tan.f64 x) (tan.f64 x))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (tan.f64 x))
✓cost-diff0
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓cost-diff64
(*.f64 (tan.f64 x) (tan.f64 x))
✓cost-diff6464
(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
Rules
2516×fnmadd-define
1904×fma-define
1634×sum3-define
1368×fmsub-define
1346×fnmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031169
172167
2137167
3265167
4478167
51128167
63265167
75939167
87313167
97627167
107918167
08001167
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan x))))
(+ (* (- 0 (tan x)) (tan x)) 1)
(- 0 (tan x))
0
(tan x)
x
1
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
1
(/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x))))
(- 1 (pow (/ 1 (tan x)) -2))
1
(pow (/ 1 (tan x)) -2)
(/ 1 (tan x))
(tan x)
x
-2
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (/ (/ 1 (cos x)) (/ 1 (sin x))) (tan x))))
(- 1 (* (tan x) (tan x)))
1
(* (tan x) (tan x))
(tan x)
x
(+ 1 (* (/ (/ 1 (cos x)) (/ 1 (sin x))) (tan x)))
(* (/ (/ 1 (cos x)) (/ 1 (sin x))) (tan x))
(/ (/ 1 (cos x)) (/ 1 (sin x)))
(/ 1 (cos x))
(cos x)
(/ 1 (sin x))
(sin x)
(- (/ (pow (tan x) 2) (- -1 (pow (tan x) 2))) (/ 1 (- -1 (pow (tan x) 2))))
(/ (pow (tan x) 2) (- -1 (pow (tan x) 2)))
(pow (tan x) 2)
(tan x)
x
2
(- -1 (pow (tan x) 2))
-1
(/ 1 (- -1 (pow (tan x) 2)))
1
Outputs
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan 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))))
(+ (* (- 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)
(+ 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))
1
#s(literal 1 binary64)
(/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (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 (pow (/ 1 (tan x)) -2))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(pow (/ 1 (tan x)) -2)
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
(/ 1 (tan x))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan x)
(tan.f64 x)
x
-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))
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (/ (/ 1 (cos x)) (/ 1 (sin x))) (tan x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 (cos.f64 x) (sin.f64 x)))))
(- 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
(+ 1 (* (/ (/ 1 (cos x)) (/ 1 (sin x))) (tan x)))
(+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 (cos.f64 x) (sin.f64 x))))
(* (/ (/ 1 (cos x)) (/ 1 (sin x))) (tan x))
(/.f64 (tan.f64 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/ (/ 1 (cos x)) (/ 1 (sin x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(sin x)
(sin.f64 x)
(- (/ (pow (tan x) 2) (- -1 (pow (tan x) 2))) (/ 1 (- -1 (pow (tan x) 2))))
(/.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))))
(/ (pow (tan x) 2) (- -1 (pow (tan x) 2)))
(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.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 (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
#s(literal 1 binary64)

localize219.0ms (2.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓accuracy99.5%
(-.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)))))
✓accuracy99.5%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓accuracy99.7%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (tan.f64 x))))
✓accuracy99.5%
(*.f64 (tan.f64 x) (tan.f64 x))
✓accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
✓accuracy99.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (tan.f64 x))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓accuracy99.7%
(/.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 (tan.f64 x) (tan.f64 x))))
✓accuracy99.5%
(*.f64 (tan.f64 x) (tan.f64 x))
✓accuracy99.3%
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
✓accuracy99.9%
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓accuracy99.7%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓accuracy99.6%
(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
✓accuracy99.5%
(*.f64 (tan.f64 x) (tan.f64 x))
Results
162.0ms256×0valid
Compiler

Compiled 239 to 31 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-cos: 21.0ms (25% of total)
ival-div: 17.0ms (20.2% of total)
ival-sin: 10.0ms (11.9% of total)
ival-sub: 10.0ms (11.9% of total)
ival-tan: 7.0ms (8.3% of total)
ival-pow: 6.0ms (7.1% of total)
ival-mult: 5.0ms (5.9% of total)
ival-add: 4.0ms (4.8% of total)
compiled-spec: 4.0ms (4.8% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (+ (* (- 0 (tan x)) (tan x)) 1)>
#<alt (* (tan x) (tan x))>
#<alt (/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan x))))>
#<alt (- 0 (tan x))>
#<alt (/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x))))>
#<alt (- 1 (pow (/ 1 (tan x)) -2))>
#<alt (pow (/ 1 (tan x)) -2)>
#<alt (/ (/ 1 (cos x)) (/ 1 (sin x)))>
#<alt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (/ (/ 1 (cos x)) (/ 1 (sin x))) (tan x))))>
#<alt (- 1 (* (tan x) (tan x)))>
#<alt (- (/ (pow (tan x) 2) (- -1 (pow (tan x) 2))) (/ 1 (- -1 (pow (tan x) 2))))>
#<alt (/ (pow (tan x) 2) (- -1 (pow (tan x) 2)))>
#<alt (pow (tan x) 2)>
#<alt (tan x)>
#<alt (+ 1 (* (tan x) (tan x)))>
#<alt (/ 1 (tan x))>
#<alt (* (/ (/ 1 (cos x)) (/ 1 (sin x))) (tan x))>
#<alt (/ 1 (- -1 (pow (tan x) 2)))>
Outputs
#<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 (/ (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 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<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 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 (* -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 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)))))) (/ 1 (+ 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)))))) (/ 1 (+ 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)))))) (/ 1 (+ 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)))))) (/ 1 (+ 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)))))) (/ 1 (+ 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)))))) (/ 1 (+ 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)))))) (/ 1 (+ 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)))))) (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))>
#<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 (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)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin 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 (/ (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 (- (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))))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(- (/ (pow (tan x) 2) (- -1 (pow (tan x) 2))) (/ 1 (- -1 (pow (tan x) 2))))
2.0ms
x
@-inf
(- (/ (pow (tan x) 2) (- -1 (pow (tan x) 2))) (/ 1 (- -1 (pow (tan x) 2))))
1.0ms
x
@inf
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (/ (/ 1 (cos x)) (/ 1 (sin x))) (tan x))))
1.0ms
x
@-inf
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (/ (/ 1 (cos x)) (/ 1 (sin x))) (tan x))))
1.0ms
x
@inf
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan x))))

rewrite262.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
1730×sum5-define
1688×fnmadd-define
1496×*-lowering-*.f32
1496×*-lowering-*.f64
1376×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031106
1142100
270999
3400898
0803298
Stop Event
1×iter limit
1×node limit
Counts
18 → 1327
Calls
Call 1
Inputs
(+ (* (- 0 (tan x)) (tan x)) 1)
(* (tan x) (tan x))
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan x))))
(- 0 (tan x))
(/ (- 1 (pow (/ 1 (tan x)) -2)) (+ 1 (* (tan x) (tan x))))
(- 1 (pow (/ 1 (tan x)) -2))
(pow (/ 1 (tan x)) -2)
(/ (/ 1 (cos x)) (/ 1 (sin x)))
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (/ (/ 1 (cos x)) (/ 1 (sin x))) (tan x))))
(- 1 (* (tan x) (tan x)))
(- (/ (pow (tan x) 2) (- -1 (pow (tan x) 2))) (/ 1 (- -1 (pow (tan x) 2))))
(/ (pow (tan x) 2) (- -1 (pow (tan x) 2)))
(pow (tan x) 2)
(tan x)
(+ 1 (* (tan x) (tan x)))
(/ 1 (tan x))
(* (/ (/ 1 (cos x)) (/ 1 (sin x))) (tan x))
(/ 1 (- -1 (pow (tan x) 2)))
Outputs
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (+.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)))
(-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (tan.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (tan.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (sin.f64 x) #s(literal 1 binary64))
(neg.f64 (+.f64 (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) (pow.f64 (tan.f64 x) #s(literal 2 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 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
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(fma.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) #s(literal 1 binary64))
(neg.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) (+.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 #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 #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 #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))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)))))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (tan.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(+.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (/.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 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (sin.f64 x)))
(/.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 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (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) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (tan.f64 x)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (tan.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 #s(literal 0 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 (/.f64 #s(literal -1 binary64) (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) (cos.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (tan.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)))
(*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (cos.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(exp.f64 (log.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) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(neg.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 #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)))) #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 #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) (+.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)))) #s(literal 1 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))

simplify257.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
3496×*-lowering-*.f32
3496×*-lowering-*.f64
2414×+-lowering-+.f64
2414×+-lowering-+.f32
2050×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01542601
14252096
212721926
344681888
468701888
081691888
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
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))))
(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 (/ (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 (sin x) 2) (pow (cos x) 2))))
(* -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)))
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 (* -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)))
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 (+ 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 (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 (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 (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 (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 (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 (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 (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 (/ (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))))))
(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)))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) 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) (sin 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))))))))
(/ (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)
(- (* (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))))
Outputs
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 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 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal -17/45 binary64)))))))
(+ 1 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (*.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))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 x (*.f64 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))
(/.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)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) #s(literal -2 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 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64)))))))
(/ (+ 1 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 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)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) #s(literal -2 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 (*.f64 x 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)))))
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(* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 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 (*.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))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 x (*.f64 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))
(/.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 (*.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)))
(+.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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -1/45 binary64)))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) #s(literal -2/945 binary64))))))) x)
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(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 (*.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))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 x (*.f64 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))
(/.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)))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x 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 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))))))
(/ -1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.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))))
(/.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))))
(/.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))))
(/.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))))
(/.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))))
(/.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))))
(/.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))))
(/.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)))))

eval669.0ms (6.6%)

Compiler

Compiled 59804 to 3222 computations (94.6% saved)

prune214.0ms (2.1%)

Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New2375152390
Fresh101525
Picked325
Done000
Total2388322420
Accuracy
100.0%
Counts
2420 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
98.8%
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 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)))))) #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 (tan.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶99.4%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.6%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶99.6%
(/.f64 (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)))
57.6%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
98.8%
(/.f64 (fma.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 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.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))))
99.5%
(/.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))))) (+.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 (*.f64 (/.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 (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 2 binary64))))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
98.8%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (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 #s(literal 1 binary64) (pow.f64 (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 #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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
▶99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
57.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(literal 1 binary64))
99.6%
(/.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))))
▶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 (tan.f64 x) (tan.f64 x))))
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))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.8%
(/.f64 (-.f64 #s(literal 1 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)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
98.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.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)))))))
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 (cos.f64 x) (tan.f64 x)) (sin.f64 x)))))
57.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
99.5%
(/.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 (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)))))
99.5%
(-.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) (/.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))))))))
99.5%
(-.f64 (/.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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
▶48.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓53.2%
#s(literal 1 binary64)
Compiler

Compiled 1385 to 774 computations (44.1% saved)

simplify174.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -1 binary64) (cos.f64 x))
✓cost-diff0
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓cost-diff64
(*.f64 (tan.f64 x) (tan.f64 x))
✓cost-diff6400
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) (sin.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
✓cost-diff0
(/.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-diff64
(*.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-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64)))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
✓cost-diff0
(tan.f64 x)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (tan.f64 x))
✓cost-diff0
(/.f64 (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)))
✓cost-diff6464
(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
Rules
2816×*-lowering-*.f32
2816×*-lowering-*.f64
2022×fnmsub-define
1360×+-lowering-+.f64
1360×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038253
190242
2163236
3339234
4957228
54200228
08488228
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (- (pow (tan x) 2) -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
-1
(+ 1 (* x (* x -2)))
1
(* x (* x -2))
x
(* x -2)
-2
(/ (- 1 (pow (/ 1 (tan x)) -2)) (- (pow (tan x) 2) -1))
(- 1 (pow (/ 1 (tan x)) -2))
1
(pow (/ 1 (tan x)) -2)
(/ 1 (tan x))
(tan x)
x
-2
(- (pow (tan x) 2) -1)
(pow (tan x) 2)
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 (cos x)) (* (tan x) (sin x))) 1) (+ 1 (* (tan x) (tan x))))
(+ (* (/ -1 (cos x)) (* (tan x) (sin x))) 1)
(/ -1 (cos x))
-1
(cos x)
x
(* (tan x) (sin x))
(tan x)
(sin x)
1
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
Outputs
(/ (+ (* (- 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))))
(+ (* (- 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)
-1
#s(literal -1 binary64)
(+ 1 (* x (* x -2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(* x (* x -2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
x
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (- 1 (pow (/ 1 (tan x)) -2)) (- (pow (tan x) 2) -1))
(/.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (pow (/ 1 (tan x)) -2))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(pow (/ 1 (tan x)) -2)
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
(/ 1 (tan x))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(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)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
-1
#s(literal -1 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 (cos x)) (* (tan x) (sin x))) 1) (+ 1 (* (tan x) (tan x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+ (* (/ -1 (cos x)) (* (tan x) (sin x))) 1)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))
(/ -1 (cos x))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
-1
#s(literal -1 binary64)
(cos x)
(cos.f64 x)
x
(* (tan x) (sin x))
(*.f64 (tan.f64 x) (sin.f64 x))
(tan x)
(tan.f64 x)
(sin x)
(sin.f64 x)
1
#s(literal 1 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))

localize357.0ms (3.5%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓accuracy99.7%
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x)) #s(literal 1 binary64))
✓accuracy99.7%
(*.f64 (tan.f64 x) (sin.f64 x))
✓accuracy99.5%
(*.f64 (tan.f64 x) (tan.f64 x))
✓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)))))
✓accuracy99.5%
(*.f64 (tan.f64 x) (tan.f64 x))
✓accuracy99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
✓accuracy76.2%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓accuracy99.7%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓accuracy99.5%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓accuracy99.3%
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
✓accuracy100.0%
(*.f64 x (*.f64 x #s(literal -2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.9%
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
✓accuracy99.7%
(/.f64 (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)))
✓accuracy99.6%
(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
✓accuracy99.5%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
Results
190.0ms121×1valid
98.0ms135×0valid
Compiler

Compiled 284 to 37 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-tan: 43.0ms (25.8% of total)
ival-mult: 21.0ms (12.6% of total)
ival-div: 18.0ms (10.8% of total)
backward-pass: 18.0ms (10.8% of total)
ival-cos: 15.0ms (9% of total)
compiled-spec: 14.0ms (8.4% of total)
ival-sub: 12.0ms (7.2% of total)
ival-add: 10.0ms (6% of total)
ival-pow: 10.0ms (6% of total)
ival-sin: 6.0ms (3.6% of total)
const: 1.0ms (0.6% of total)

series22.0ms (0.2%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (+ (* (- 0 (tan x)) (tan x)) 1)>
#<alt (/ (+ (* (- 0 (tan x)) (tan x)) 1) (- (pow (tan x) 2) -1))>
#<alt (- 0 (tan x))>
#<alt (tan x)>
#<alt (+ 1 (* x (* x -2)))>
#<alt (* x (* x -2))>
#<alt (* x -2)>
#<alt (/ (- 1 (pow (/ 1 (tan x)) -2)) (- (pow (tan x) 2) -1))>
#<alt (- 1 (pow (/ 1 (tan x)) -2))>
#<alt (pow (/ 1 (tan x)) -2)>
#<alt (/ 1 (tan x))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (* (tan x) (tan x))>
#<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 (cos x)) (* (tan x) (sin x))) 1)>
#<alt (/ (+ (* (/ -1 (cos x)) (* (tan x) (sin x))) 1) (+ 1 (* (tan x) (tan x))))>
#<alt (/ -1 (cos x))>
#<alt (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 (* (tan x) (sin x))>
Outputs
#<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 (/ (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 (* -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 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<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 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 (* -2 (pow x 2)))>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 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 (* -2 (pow x 2))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<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 (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin 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 (* 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 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 (/ (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 (* -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 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt -1>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1)>
#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos 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 (/ (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 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -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 2)>
#<alt (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (/ (pow (sin x) 2) (cos x))>
Calls

69 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x))))
4.0ms
x
@0
(/ (- 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 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (* (tan x) (tan x))))
1.0ms
x
@-inf
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
1.0ms
x
@inf
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))

rewrite691.0ms (6.8%)

Algorithm
1×batch-egg-rewrite
Rules
2256×*-lowering-*.f32
2256×*-lowering-*.f64
2090×fma-lowering-fma.f32
2090×fma-lowering-fma.f64
1544×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038148
1148114
2575114
33029114
08517114
Stop Event
1×iter limit
1×node limit
Counts
23 → 2802
Calls
Call 1
Inputs
(+ (* (- 0 (tan x)) (tan x)) 1)
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (- (pow (tan x) 2) -1))
(- 0 (tan x))
(tan x)
(+ 1 (* x (* x -2)))
(* x (* x -2))
(* x -2)
(/ (- 1 (pow (/ 1 (tan x)) -2)) (- (pow (tan x) 2) -1))
(- 1 (pow (/ 1 (tan x)) -2))
(pow (/ 1 (tan x)) -2)
(/ 1 (tan x))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(* (tan x) (tan x))
(/ (- 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 (cos x)) (* (tan x) (sin x))) 1)
(/ (+ (* (/ -1 (cos x)) (* (tan x) (sin x))) 1) (+ 1 (* (tan x) (tan x))))
(/ -1 (cos x))
(pow (tan x) 2)
(- (pow (tan x) 2) -1)
(- 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(* (tan x) (sin x))
Outputs
(+.f64 #s(literal 0 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 1/2 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) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.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) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 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) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 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) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 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) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
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(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
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(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 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))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 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 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(neg.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 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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 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))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 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 #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 (sin.f64 x) (sin.f64 x))
(*.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 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 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 #s(literal 2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 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 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 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 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 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))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(neg.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 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (+.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) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.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 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (cos.f64 x)))
(neg.f64 (*.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) #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))) (cos.f64 x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (/.f64 (cos.f64 x) (+.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 (tan.f64 x) (sin.f64 x))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) #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 binary64) (cos.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) (tan.f64 x))

simplify277.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
3020×+-lowering-+.f64
3020×+-lowering-+.f32
2510×*-lowering-*.f32
2510×*-lowering-*.f64
2060×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02013172
15522620
216462359
339522327
470472327
080812327
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
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 (* -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)))) (+ 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 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)))
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 (* -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))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
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))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) 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) (sin 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 (* 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)))))))
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 (* -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)))) (+ 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
(- (* -1/2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1)
(/ -1 (cos x))
(/ -1 (cos x))
(/ -1 (cos x))
(/ -1 (cos x))
(/ -1 (cos x))
(/ -1 (cos x))
(/ -1 (cos x))
(/ -1 (cos 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))))))))
(/ (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 (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 (* -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 2)
(* (pow x 2) (+ 1 (* 1/6 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
(/ (pow (sin x) 2) (cos x))
Outputs
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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(+ 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 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64)))))))
(/ (+ 1 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/3 (pow x 2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x 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)))
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 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 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 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(+ 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 (*.f64 x 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))))
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(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
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(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
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(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(+.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 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
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(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(+.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 #s(literal -1 binary64) (cos.f64 (*.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 (*.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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(+ 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 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64)))))))
(/ (+ 1 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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 (* -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)
(- (* -1/2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -5/24 binary64))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))
(/ -1 (cos x))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
(/ -1 (cos x))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
(/ -1 (cos x))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
(/ -1 (cos x))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
(/ -1 (cos x))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
(/ -1 (cos x))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
(/ -1 (cos x))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
(/ -1 (cos x))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
(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 (*.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 (*.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)))
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 (*.f64 x 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)))
(+.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 (* -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 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)))))))
(* (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 (*.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)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/6 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 31/360 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 x x) #s(literal 173/5040 binary64)))))))))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))

eval698.0ms (6.8%)

Compiler

Compiled 170240 to 7230 computations (95.8% saved)

prune524.0ms (5.1%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New4419134432
Fresh141125
Picked325
Done112
Total4437274464
Accuracy
100.0%
Counts
4464 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
98.9%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.4%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 x)) (cos.f64 x)) (-.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))))) (+.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
98.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)))
57.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(literal 1 binary64))
▶99.6%
(/.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)))
98.8%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 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 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 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 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x)))))
55.0%
(/.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))))
99.5%
(/.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))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
57.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
▶98.8%
(/.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 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.0%
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.5%
(/.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)))))
53.5%
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.5%
(-.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) (/.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))))))))
99.5%
(-.f64 (/.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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
✓48.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
▶2.5%
(*.f64 (*.f64 x x) #s(literal -2 binary64))
✓53.2%
#s(literal 1 binary64)
Compiler

Compiled 970 to 594 computations (38.8% saved)

simplify208.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.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 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
✓cost-diff0
(/.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 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓cost-diff64
(*.f64 (tan.f64 x) (tan.f64 x))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓cost-diff0
(/.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))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓cost-diff64
(*.f64 (tan.f64 x) (tan.f64 x))
✓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-diff0
(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 (-.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-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal -2 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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
✓cost-diff0
(/.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 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
✓cost-diff128
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 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)))))
Rules
2846×*-lowering-*.f32
2846×*-lowering-*.f64
1734×sum3-define
1628×/-lowering-/.f32
1628×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038337
1106329
2223323
3519313
41633313
56669313
08078313
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 (cos (* x 2))) (/ (+ 1 (cos (* x 2))) 1))))
(- 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 (cos (* x 2))) (/ (+ 1 (cos (* x 2))) 1)))
(/ (- 1 (cos (* x 2))) (/ (+ 1 (cos (* x 2))) 1))
(- 1 (cos (* x 2)))
(cos (* x 2))
(* x 2)
(/ (+ 1 (cos (* x 2))) 1)
(+ 1 (cos (* x 2)))
(* (* x x) -2)
(* x x)
x
-2
(/ (- 1 (pow (tan x) 2)) (- (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 (/ 1 (- 1 (pow (tan x) 2)))) (+ 1 (* (tan x) (tan x))))
(/ 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 (* (tan x) (tan x)))
(* (tan x) (tan x))
(/ (+ 1 (* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 2))))) (+ 1 (* (tan x) (tan x))))
(+ 1 (* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 2)))))
1
(* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 2))))
(/ 1 (+ 1 (cos (* x 2))))
(+ 1 (cos (* x 2)))
(cos (* x 2))
(* x 2)
x
2
(+ -1 (cos (* x 2)))
-1
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(tan x)
Outputs
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1 (cos (* x 2))) (/ (+ 1 (cos (* x 2))) 1))))
(/.f64 (+.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))))) (+.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 #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
#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 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #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 #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 (cos (* x 2))) (/ (+ 1 (cos (* x 2))) 1)))
(+.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 (cos (* x 2))) (/ (+ 1 (cos (* x 2))) 1))
(/.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 (cos (* x 2)))
(-.f64 #s(literal 1 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)
(/ (+ 1 (cos (* x 2))) 1)
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(+ 1 (cos (* x 2)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(* (* x x) -2)
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* x x)
(*.f64 x x)
x
-2
#s(literal -2 binary64)
(/ (- 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 (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
#s(literal -1 binary64)
(/ (/ 1 (/ 1 (- 1 (pow (tan x) 2)))) (+ 1 (* (tan x) (tan 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))))
(/ 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 (* (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))
(/ (+ 1 (* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 2))))) (+ 1 (* (tan x) (tan x))))
(/.f64 (+.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))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+ 1 (* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 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
#s(literal 1 binary64)
(* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 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 (+ 1 (cos (* x 2))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(+ 1 (cos (* x 2)))
(+.f64 #s(literal 1 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)
x
2
#s(literal 2 binary64)
(+ -1 (cos (* x 2)))
(+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
-1
#s(literal -1 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)

localize367.0ms (3.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
✓accuracy99.5%
(*.f64 (tan.f64 x) (tan.f64 x))
✓accuracy99.2%
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
✓accuracy76.2%
(+.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
✓accuracy99.7%
(/.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))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
✓accuracy99.5%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓accuracy99.5%
(*.f64 (tan.f64 x) (tan.f64 x))
✓accuracy99.9%
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
✓accuracy99.8%
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓accuracy99.7%
(/.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)))
✓accuracy99.5%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal -2 binary64))
✓accuracy99.2%
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
✓accuracy99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
✓accuracy76.2%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
✓accuracy76.2%
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
Results
155.0ms121×1valid
124.0ms135×0valid
Compiler

Compiled 377 to 39 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-tan: 39.0ms (27.2% of total)
ival-div: 24.0ms (16.7% of total)
ival-cos: 20.0ms (14% of total)
ival-mult: 17.0ms (11.9% of total)
backward-pass: 15.0ms (10.5% of total)
ival-sub: 13.0ms (9.1% of total)
ival-add: 11.0ms (7.7% of total)
ival-pow: 4.0ms (2.8% of total)
const: 1.0ms (0.7% of total)

series17.0ms (0.2%)

Counts
24 → 288
Calls
Call 1
Inputs
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (+ 1 (cos (* x 2))) 1)>
#<alt (/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1 (cos (* x 2))) (/ (+ 1 (cos (* x 2))) 1))))>
#<alt (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (* (* x x) -2)>
#<alt (* x x)>
#<alt (/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1))>
#<alt (- 1 (pow (tan x) 2))>
#<alt (pow (tan x) 2)>
#<alt (tan x)>
#<alt (/ 1 (/ 1 (- 1 (pow (tan x) 2))))>
#<alt (* (tan x) (tan x))>
#<alt (/ (/ 1 (/ 1 (- 1 (pow (tan x) 2)))) (+ 1 (* (tan x) (tan x))))>
#<alt (/ 1 (- 1 (pow (tan x) 2)))>
#<alt (* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 2))))>
#<alt (/ (+ 1 (* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 2))))) (+ 1 (* (tan x) (tan x))))>
#<alt (+ 1 (* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 2)))))>
#<alt (- 1 (cos (* x 2)))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1 (cos (* x 2)))>
#<alt (- (pow (tan x) 2) -1)>
#<alt (+ -1 (cos (* x 2)))>
#<alt (/ 1 (+ 1 (cos (* x 2))))>
Outputs
#<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 2>
#<alt (+ 2 (* -2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<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 (/ 1 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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))))))) (- (+ 1 (/ 1 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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))))))) (- (+ 1 (/ 1 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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))))))) (- (+ 1 (/ 1 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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))))))) (- (+ 1 (/ 1 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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))))))) (- (+ 1 (/ 1 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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))))))) (- (+ 1 (/ 1 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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))))))) (- (+ 1 (/ 1 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (cos (* 2 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 (* 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 (* -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 (* -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 (* -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 (/ (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 (* 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 (pow x 2))>
#<alt (* (pow x 2) (- (* -2/3 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))>
#<alt (/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))>
#<alt (/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))>
#<alt (/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))>
#<alt (/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))>
#<alt (/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))>
#<alt (/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))>
#<alt (/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))>
#<alt (/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))>
#<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 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (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 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))>
#<alt (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))>
#<alt (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))>
#<alt (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))>
#<alt (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))>
#<alt (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))>
#<alt (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))>
#<alt (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* -2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))>
#<alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))>
#<alt (- 1 (cos (* 2 x)))>
#<alt (- 1 (cos (* 2 x)))>
#<alt (- 1 (cos (* 2 x)))>
#<alt (- 1 (cos (* 2 x)))>
#<alt (- 1 (cos (* 2 x)))>
#<alt (- 1 (cos (* 2 x)))>
#<alt (- 1 (cos (* 2 x)))>
#<alt (- 1 (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 (+ 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 2>
#<alt (+ 2 (* -2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (cos (* 2 x)))>
#<alt (+ 1 (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 (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/3 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 2/315 (pow x 2)) 4/45)))) 2))>
#<alt (- (cos (* 2 x)) 1)>
#<alt (- (cos (* 2 x)) 1)>
#<alt (- (cos (* 2 x)) 1)>
#<alt (- (cos (* 2 x)) 1)>
#<alt (- (cos (* 2 x)) 1)>
#<alt (- (cos (* 2 x)) 1)>
#<alt (- (cos (* 2 x)) 1)>
#<alt (- (cos (* 2 x)) 1)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/2 (* 1/3 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/3 (* 17/90 (pow x 2)))))))>
#<alt (/ 1 (+ 1 (cos (* 2 x))))>
#<alt (/ 1 (+ 1 (cos (* 2 x))))>
#<alt (/ 1 (+ 1 (cos (* 2 x))))>
#<alt (/ 1 (+ 1 (cos (* 2 x))))>
#<alt (/ 1 (+ 1 (cos (* 2 x))))>
#<alt (/ 1 (+ 1 (cos (* 2 x))))>
#<alt (/ 1 (+ 1 (cos (* 2 x))))>
#<alt (/ 1 (+ 1 (cos (* 2 x))))>
Calls

72 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1 (cos (* x 2))) (/ (+ 1 (cos (* x 2))) 1))))
2.0ms
x
@-inf
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1 (cos (* x 2))) (/ (+ 1 (cos (* x 2))) 1))))
1.0ms
x
@-inf
(/ (+ 1 (* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 2))))) (+ 1 (* (tan x) (tan x))))
1.0ms
x
@inf
(/ (+ 1 (* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 2))))) (+ 1 (* (tan x) (tan x))))
1.0ms
x
@inf
(/ 1 (- 1 (pow (tan x) 2)))

rewrite263.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
1590×sum4-define
1588×sum3-define
1536×*-lowering-*.f32
1536×*-lowering-*.f64
1352×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038347
1176182
2732129
34630129
08121129
Stop Event
1×iter limit
1×node limit
Counts
24 → 1388
Calls
Call 1
Inputs
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (+ 1 (cos (* x 2))) 1)
(/ (- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (/ (- 1 (cos (* x 2))) (/ (+ 1 (cos (* x 2))) 1))))
(- 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(* (* x x) -2)
(* x x)
(/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1))
(- 1 (pow (tan x) 2))
(pow (tan x) 2)
(tan x)
(/ 1 (/ 1 (- 1 (pow (tan x) 2))))
(* (tan x) (tan x))
(/ (/ 1 (/ 1 (- 1 (pow (tan x) 2)))) (+ 1 (* (tan x) (tan x))))
(/ 1 (- 1 (pow (tan x) 2)))
(* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 2))))
(/ (+ 1 (* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 2))))) (+ 1 (* (tan x) (tan x))))
(+ 1 (* (/ 1 (+ 1 (cos (* x 2)))) (+ -1 (cos (* x 2)))))
(- 1 (cos (* x 2)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1 (cos (* x 2)))
(- (pow (tan x) 2) -1)
(+ -1 (cos (* x 2)))
(/ 1 (+ 1 (cos (* x 2))))
Outputs
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #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 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(neg.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 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (tan.f64 x) (sin.f64 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))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 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) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.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))))
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(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))
(-.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (neg.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (neg.f64 (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64) (neg.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))))
(fma.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 x) (cos.f64 x) (neg.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))))
(fma.f64 (cos.f64 x) (cos.f64 x) (neg.f64 (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (/.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))))
(fma.f64 (cos.f64 x) (/.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64) (neg.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))))
(fma.f64 (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 x) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) (log1p.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (cos.f64 x))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))

simplify268.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
3332×+-lowering-+.f64
3332×+-lowering-+.f32
2612×*-lowering-*.f32
2612×*-lowering-*.f64
2060×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01943628
15613090
217512803
341892674
476732674
080622674
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(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)))))
2
(+ 2 (* -2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
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 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (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 (+ 1 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (cos (* 2 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 (* 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)))))))
(* -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 (/ (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 (* -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 (/ (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 (* 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) (- (* -2/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))
(/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))
(/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))
(/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))
(/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))
(/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))
(/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))
(/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))
(/ (- (cos (* 2 x)) 1) (+ 1 (cos (* 2 x))))
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 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x))))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (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 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))
(- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))
(- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))
(- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))
(- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))
(- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))
(- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))
(- (+ 1 (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))) (/ 1 (+ 1 (cos (* 2 x)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2/3 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (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))))
2
(+ 2 (* -2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (cos (* 2 x)))
(+ 1 (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)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2/3 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 2/315 (pow x 2)) 4/45)))) 2))
(- (cos (* 2 x)) 1)
(- (cos (* 2 x)) 1)
(- (cos (* 2 x)) 1)
(- (cos (* 2 x)) 1)
(- (cos (* 2 x)) 1)
(- (cos (* 2 x)) 1)
(- (cos (* 2 x)) 1)
(- (cos (* 2 x)) 1)
1/2
(+ 1/2 (* 1/2 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/2 (* 1/3 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/3 (* 17/90 (pow x 2)))))))
(/ 1 (+ 1 (cos (* 2 x))))
(/ 1 (+ 1 (cos (* 2 x))))
(/ 1 (+ 1 (cos (* 2 x))))
(/ 1 (+ 1 (cos (* 2 x))))
(/ 1 (+ 1 (cos (* 2 x))))
(/ 1 (+ 1 (cos (* 2 x))))
(/ 1 (+ 1 (cos (* 2 x))))
(/ 1 (+ 1 (cos (* 2 x))))
Outputs
(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)))))))))
(/ (- 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) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 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) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 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) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 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) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 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) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 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) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 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) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 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) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
2
#s(literal 2 binary64)
(+ 2 (* -2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal -2 binary64)))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64)))))))
(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal -2 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 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64)))))))
(/ (- (+ 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 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/ (- (+ 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 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/ (- (+ 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 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/ (- (+ 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 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/ (- (+ 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 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/ (- (+ 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 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/ (- (+ 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 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/ (- (+ 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 (cos (* 2 x))))) (/ (cos (* 2 x)) (+ 1 (cos (* 2 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.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 (*.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 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 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(- (+ 1 (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
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#s(literal 1 binary64)
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1
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2
#s(literal 2 binary64)
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(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (cos (* 2 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+ 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 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))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 2/3 (pow x 2)) 2))
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal -2 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 2/315 (pow x 2)) 4/45)))) 2))
(*.f64 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/315 binary64))))))))))
(- (cos (* 2 x)) 1)
(+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(- (cos (* 2 x)) 1)
(+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(- (cos (* 2 x)) 1)
(+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(- (cos (* 2 x)) 1)
(+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(- (cos (* 2 x)) 1)
(+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(- (cos (* 2 x)) 1)
(+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(- (cos (* 2 x)) 1)
(+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(- (cos (* 2 x)) 1)
(+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+ 1/2 (* (pow x 2) (+ 1/2 (* 1/3 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(+ 1/2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/3 (* 17/90 (pow x 2)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 17/90 binary64))))))))
(/ 1 (+ 1 (cos (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (cos (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (cos (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (cos (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (cos (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (cos (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (cos (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (cos (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))

eval325.0ms (3.2%)

Compiler

Compiled 74935 to 5174 computations (93.1% saved)

prune251.0ms (2.5%)

Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New2425112436
Fresh51419
Picked325
Done033
Total2433302463
Accuracy
100.0%
Counts
2463 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
98.9%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.4%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 x)) (cos.f64 x)) (-.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))))) (-.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 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
57.6%
(/.f64 (-.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓99.6%
(/.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)))
98.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (/.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)))) #s(literal -1 binary64)))
98.8%
(/.f64 (-.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) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
57.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
59.4%
(/.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 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #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 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x)))))
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))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
99.6%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
99.5%
(/.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 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
55.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.0%
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.5%
(/.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 (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) (/.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))))))))
99.5%
(-.f64 (/.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 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
98.9%
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 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 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
✓48.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓2.5%
(*.f64 (*.f64 x x) #s(literal -2 binary64))
2.5%
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal -2 binary64))
✓53.2%
#s(literal 1 binary64)
Compiler

Compiled 2106 to 598 computations (71.6% saved)

regimes75.0ms (0.7%)

Counts
70 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.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) (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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 (*.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 (-.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))))
(/.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 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #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) (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 #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 (-.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 (/.f64 #s(literal 1 binary64) (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) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.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 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (+.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) (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 #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) (-.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 (/.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) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 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 (/.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 (cos.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (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))) (-.f64 (/.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)))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (-.f64 (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))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.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 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.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 #s(literal 1/2 binary64) (cos.f64 (*.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 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 #s(literal 1/2 binary64) (cos.f64 (*.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 (-.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 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.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 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (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)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 x)) (cos.f64 x)) (-.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 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.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 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 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)))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))))
(/.f64 (fma.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 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.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 (-.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 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x)))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (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)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.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 (/.f64 (sin.f64 x) (/.f64 #s(literal -1 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 (tan.f64 x) (tan.f64 x))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 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) (/.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))))))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 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)))))) #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) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 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 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.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)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (tan.f64 x) (sin.f64 x)) (/.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (*.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))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 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 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)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 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 (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) (pow.f64 (tan.f64 x) #s(literal 2 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 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 (/.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 (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 2 binary64))))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
Calls

4 calls:

19.0ms
(tan.f64 x)
18.0ms
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
99.6%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)

regimes53.0ms (0.5%)

Counts
41 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.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) (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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 (*.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 (-.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))))
(/.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 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #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) (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 #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 (-.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 (/.f64 #s(literal 1 binary64) (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) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.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 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (+.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) (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 #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) (-.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 (/.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) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 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 (/.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 (cos.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (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))) (-.f64 (/.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)))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (-.f64 (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))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.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 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.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 #s(literal 1/2 binary64) (cos.f64 (*.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 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 #s(literal 1/2 binary64) (cos.f64 (*.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 (-.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 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
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:

18.0ms
(/.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))))
11.0ms
(tan.f64 x)
11.0ms
x
10.0ms
(*.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)

regimes15.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.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) (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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 (*.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 (-.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))))
(/.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 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 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 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
Calls

3 calls:

5.0ms
(tan.f64 x)
4.0ms
x
4.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
59.4%1x
59.4%1(*.f64 (tan.f64 x) (tan.f64 x))
59.4%1(tan.f64 x)
Compiler

Compiled 11 to 6 computations (45.5% saved)

regimes13.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.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) (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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 (*.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 (-.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))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
Calls

3 calls:

4.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
4.0ms
(tan.f64 x)
4.0ms
x
Results
AccuracySegmentsBranch
57.6%1(*.f64 (tan.f64 x) (tan.f64 x))
57.6%1(tan.f64 x)
57.6%1x
Compiler

Compiled 11 to 6 computations (45.5% saved)

regimes6.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.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)))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
Calls

2 calls:

3.0ms
(tan.f64 x)
3.0ms
x
Results
AccuracySegmentsBranch
53.5%1x
53.5%1(tan.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes3.0ms (0%)

Accuracy

Total -32.8b remaining (-109.5%)

Threshold costs -32.8b (-109.5%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal -2 binary64))
Outputs
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
53.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
108×unsub-neg_binary64
64×neg-mul-1_binary64
48×+-commutative_binary64
44×distribute-neg-in_binary64
42×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03289
16089
29289
312389
416689
521289
624489
728489
832589
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.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 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.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 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 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 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #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) (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)))
#s(literal 1 binary64)

soundness1.7s (17.1%)

Rules
3332×+-lowering-+.f64
3332×+-lowering-+.f32
3038×+-lowering-+.f64
3038×+-lowering-+.f32
3020×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02013172
15522620
216462359
339522327
470472327
080812327
031106
1142100
270999
3400898
0803298
01943628
15613090
217512803
341892674
476732674
080622674
080684
1224546
2722500
32449500
44105500
56984500
08132500
038148
1148114
2575114
33029114
08517114
0726
13026
211026
370126
4477526
0844926
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 274 to 147 computations (46.4% saved)

preprocess40.0ms (0.4%)

Remove

(abs x)

Compiler

Compiled 468 to 188 computations (59.8% saved)

end0.0ms (0%)

Profiling

Loading profile data...