Trigonometry B

Time bar (total: 10.5s)

analyze124.0ms (1.2%)

Memory
-8.6MiB live, 313.3MiB allocated
Algorithm
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 9 computations (47.1% saved)

sample766.0ms (7.3%)

Memory
2.9MiB live, 1 497.2MiB allocated
Samples
566.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 391.0ms
ival-tan: 188.0ms (48.1% of total)
ival-mult: 56.0ms (14.3% of total)
ival-div: 52.0ms (13.3% of total)
ival-sub: 43.0ms (11% of total)
ival-add: 38.0ms (9.7% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess428.0ms (4.1%)

Memory
32.8MiB live, 424.4MiB allocated
Algorithm
egg-herbie
Rules
10 592×accelerator-lowering-fma.f32
10 592×accelerator-lowering-fma.f64
2 342×--lowering--.f32
2 342×--lowering--.f64
1 998×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01450
14345
28545
319045
441145
573445
6129945
7174445
8288445
9429045
10526245
11647945
12734045
13781145
0715
11815
22915
34815
48715
515015
624915
755715
8124315
9297615
10430815
11538215
12615215
13650115
14663315
15669415
16756015
0814714
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
Outputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(neg.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
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 (* (tan (neg x)) (tan (neg x)))) (+ 1 (* (tan (neg x)) (tan (neg x)))))
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(neg (/ (- 1 (* (tan (neg x)) (tan (neg x)))) (+ 1 (* (tan (neg x)) (tan (neg x))))))
(/ (- 1 (* (tan x) (tan x))) (- -1 (* (tan x) (tan x))))
Symmetry

(abs x)

explain112.0ms (1.1%)

Memory
-13.5MiB live, 140.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-2(1.4088102293540244e+150)(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
00-0-(*.f64 (tan.f64 x) (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-#s(literal 1 binary64)
00-0-(tan.f64 x)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))cancellation13
Confusion
Predicted +Predicted -
+12
-0253
Precision
1.0
Recall
0.3333333333333333
Confusion?
Predicted +Predicted MaybePredicted -
+120
-01252
Precision?
0.75
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
40.0ms512×0valid
Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-tan: 15.0ms (55.8% of total)
ival-div: 3.0ms (11.2% of total)
ival-mult: 3.0ms (11.2% of total)
ival-sub: 2.0ms (7.4% of total)
ival-add: 2.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 16 to 7 computations (56.3% saved)

simplify568.0ms (5.4%)

Memory
-228.9MiB live, 341.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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))))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
Rules
10 592×accelerator-lowering-fma.f32
10 592×accelerator-lowering-fma.f64
2 342×--lowering--.f32
2 342×--lowering--.f64
1 998×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0738
11838
22938
34838
48738
515038
624938
755738
8124338
9297638
10430838
11538238
12615238
13650138
14663338
15669438
16756038
0814736
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(- 1 (* (tan x) (tan x)))
1
(* (tan x) (tan x))
(tan x)
x
(+ 1 (* (tan x) (tan x)))
Outputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(neg.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(- 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)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))

localize30.0ms (0.3%)

Memory
-26.1MiB live, 55.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
accuracy99.7%
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy99.6%
(*.f64 (tan.f64 x) (tan.f64 x))
Samples
20.0ms256×0valid
Compiler

Compiled 40 to 9 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-tan: 6.0ms (48.4% of total)
ival-div: 2.0ms (16.1% of total)
ival-mult: 2.0ms (16.1% of total)
ival-sub: 1.0ms (8.1% of total)
ival-add: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (+ 1 (* (tan x) (tan x)))>
#<alt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))>
#<alt (- 1 (* (tan x) (tan x)))>
#<alt (* (tan x) (tan x))>
Outputs
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 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))>
Calls

12 calls:

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

rewrite238.0ms (2.3%)

Memory
17.3MiB live, 329.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 320×accelerator-lowering-fma.f32
3 320×accelerator-lowering-fma.f64
2 864×*-lowering-*.f32
2 864×*-lowering-*.f64
2 666×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0729
14629
235429
3505017
01029617
Stop Event
iter limit
node limit
Counts
4 → 373
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) (tan x))
Outputs
(+.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 (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)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(+.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log1p.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 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 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 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (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))))
(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 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
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(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) (cos.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)))) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 x)))) (exp.f64 (log.f64 (cos.f64 x))))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.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 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))

simplify407.0ms (3.9%)

Memory
12.8MiB live, 452.2MiB allocated
Algorithm
egg-herbie
Rules
16 148×accelerator-lowering-fma.f32
16 148×accelerator-lowering-fma.f64
2 936×*-lowering-*.f32
2 936×*-lowering-*.f64
2 512×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061603
1151602
2409588
31153588
42141588
53924588
65296588
08024567
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 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))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) x) #s(literal 1 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
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 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)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 62/315 binary64)) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) (*.f64 x (*.f64 x x)) x))
(/ (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)))

eval58.0ms (0.5%)

Memory
-13.4MiB live, 102.4MiB allocated
Compiler

Compiled 13 505 to 1 021 computations (92.4% saved)

prune79.0ms (0.7%)

Memory
18.0MiB live, 177.6MiB allocated
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New44831479
Fresh000
Picked101
Done000
Total44931480
Accuracy
99.9%
Counts
480 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
52.2%
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
52.3%
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
99.4%
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.2%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (neg.f64 (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))))
99.6%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
62.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.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 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.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 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.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 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (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)))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 (tan.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 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
99.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
56.4%
#s(literal 1 binary64)
Compiler

Compiled 1 386 to 748 computations (46% saved)

simplify258.0ms (2.4%)

Memory
-32.9MiB live, 330.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
cost-diff256
(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
cost-diff384
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
cost-diff256
(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff384
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
cost-diff0
(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) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
cost-diff256
(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff0
(tan.f64 x)
cost-diff0
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
cost-diff256
(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff256
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
Rules
6 538×accelerator-lowering-fma.f32
6 538×accelerator-lowering-fma.f64
3 344×*-lowering-*.f32
3 344×*-lowering-*.f64
2 160×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034295
175291
2150285
3399281
41232269
54823269
08289267
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x))))
(+ (* (tan x) (neg (tan x))) 1)
(tan x)
x
(neg (tan x))
1
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
1
(/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (/ 1 (tan x)) -2)))
(- 1 (* (tan x) (tan x)))
1
(* (tan x) (tan x))
(tan x)
x
(+ 1 (pow (/ 1 (tan x)) -2))
(pow (/ 1 (tan x)) -2)
(/ 1 (tan x))
-2
(/ (- 1 (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))) (+ 1 (* (tan x) (tan x))))
(- 1 (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x)))))))
1
(/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))
(/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x)))))
(+ 1/2 (* 1/2 (cos (+ x x))))
1/2
(* 1/2 (cos (+ x x)))
(cos (+ x x))
(+ x x)
x
(- 1/2 (* 1/2 (cos (+ x x))))
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(tan x)
(/ (* (/ 1 (+ 1 (pow (tan x) 2))) (- 1 (pow (tan x) 4))) (+ 1 (* (tan x) (tan x))))
(* (/ 1 (+ 1 (pow (tan x) 2))) (- 1 (pow (tan x) 4)))
(/ 1 (+ 1 (pow (tan x) 2)))
1
(+ 1 (pow (tan x) 2))
(pow (tan x) 2)
(tan x)
x
2
(- 1 (pow (tan x) 4))
(pow (tan x) 4)
4
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
Outputs
(/ (+ (* (tan x) (neg (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))))
(+ (* (tan x) (neg (tan x))) 1)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(tan x)
(tan.f64 x)
x
(neg (tan x))
(neg.f64 (tan.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))
1
#s(literal 1 binary64)
(/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (/ 1 (tan x)) -2)))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(- 1 (* (tan x) (tan x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(* (tan x) (tan x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
(+ 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)))
(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))
-2
#s(literal -2 binary64)
(/ (- 1 (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))) (+ 1 (* (tan x) (tan x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x)))))
1
#s(literal 1 binary64)
(/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
(/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
(+ 1/2 (* 1/2 (cos (+ x x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ x x)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(cos (+ x x))
(cos.f64 (+.f64 x x))
(+ x x)
(+.f64 x x)
x
(- 1/2 (* 1/2 (cos (+ x x))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 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 (+ 1 (pow (tan x) 2))) (- 1 (pow (tan x) 4))) (+ 1 (* (tan x) (tan x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(* (/ 1 (+ 1 (pow (tan x) 2))) (- 1 (pow (tan x) 4)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/ 1 (+ 1 (pow (tan x) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (pow (tan x) 2))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(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) 4))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow (tan x) 4)
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
4
#s(literal 4 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))

localize190.0ms (1.8%)

Memory
4.9MiB live, 277.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
accuracy99.6%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy99.6%
(*.f64 (tan.f64 x) (tan.f64 x))
accuracy99.4%
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
accuracy99.6%
(*.f64 (tan.f64 x) (tan.f64 x))
accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
accuracy75.0%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
accuracy99.8%
(/.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))))
accuracy99.7%
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy99.6%
(*.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)))
accuracy99.8%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
accuracy99.6%
(*.f64 (tan.f64 x) (tan.f64 x))
accuracy99.5%
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
Samples
74.0ms120×1valid
44.0ms127×0valid
10.0ms2valid
Compiler

Compiled 311 to 36 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-cos: 22.0ms (22% of total)
ival-div: 18.0ms (18% of total)
ival-add: 10.0ms (10% of total)
ival-sub: 10.0ms (10% of total)
ival-tan: 10.0ms (10% of total)
ival-mult: 9.0ms (9% of total)
ival-pow: 8.0ms (8% of total)
adjust: 7.0ms (7% of total)
ival-neg: 3.0ms (3% of total)
ival-pow2: 3.0ms (3% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
26.5MiB live, 26.5MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt (+ (* (tan x) (neg (tan x))) 1)>
#<alt (* (tan x) (tan x))>
#<alt (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x))))>
#<alt (tan x)>
#<alt (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (/ 1 (tan x)) -2)))>
#<alt (- 1 (* (tan x) (tan x)))>
#<alt (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x)))))>
#<alt (+ 1/2 (* 1/2 (cos (+ x x))))>
#<alt (/ (* (/ 1 (+ 1 (pow (tan x) 2))) (- 1 (pow (tan x) 4))) (+ 1 (* (tan x) (tan x))))>
#<alt (* (/ 1 (+ 1 (pow (tan x) 2))) (- 1 (pow (tan x) 4)))>
#<alt (/ 1 (+ 1 (pow (tan x) 2)))>
#<alt (+ 1 (* (tan x) (tan x)))>
#<alt (pow (/ 1 (tan x)) -2)>
#<alt (- 1/2 (* 1/2 (cos (+ x x))))>
#<alt (pow (tan x) 4)>
#<alt (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 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 (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 (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))>
#<alt (/ (+ 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 (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -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 (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -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) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 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 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<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))>
Calls

51 calls:

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

rewrite135.0ms (1.3%)

Memory
-32.2MiB live, 212.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
676×*-lowering-*.f32
676×*-lowering-*.f64
666×/-lowering-/.f32
666×/-lowering-/.f64
664×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032126
1216107
01668107
Stop Event
iter limit
iter limit
node limit
Counts
17 → 739
Calls
Call 1
Inputs
(+ (* (tan x) (neg (tan x))) 1)
(* (tan x) (tan x))
(/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x))))
(tan x)
(/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (/ 1 (tan x)) -2)))
(- 1 (* (tan x) (tan x)))
(/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))
(/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x)))))
(+ 1/2 (* 1/2 (cos (+ x x))))
(/ (* (/ 1 (+ 1 (pow (tan x) 2))) (- 1 (pow (tan x) 4))) (+ 1 (* (tan x) (tan x))))
(* (/ 1 (+ 1 (pow (tan x) 2))) (- 1 (pow (tan x) 4)))
(/ 1 (+ 1 (pow (tan x) 2)))
(+ 1 (* (tan x) (tan x)))
(pow (/ 1 (tan x)) -2)
(- 1/2 (* 1/2 (cos (+ x x))))
(pow (tan x) 4)
(pow (tan x) 2)
Outputs
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(-.f64 #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 4 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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
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(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x)))))
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(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -4 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -2 binary64))
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(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (tan.f64 x)) (tan.f64 x))
(*.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (tan.f64 x))) (tan.f64 x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 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 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (tan.f64 x)))) #s(literal -2 binary64))
(pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 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) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (tan.f64 x))) (exp.f64 (log.f64 (tan.f64 x))))
(*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))

simplify533.0ms (5.1%)

Memory
26.9MiB live, 501.2MiB allocated
Algorithm
egg-herbie
Rules
14 830×accelerator-lowering-fma.f32
14 830×accelerator-lowering-fma.f64
5 376×*-lowering-*.f32
5 376×*-lowering-*.f64
3 698×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01722627
14552622
211952562
337982546
454402492
571512492
081822389
Stop Event
iter limit
node limit
Counts
204 → 204
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))))
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)))
(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 (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ 1 (pow x 2))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(/ (+ 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 (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -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 (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* 1/2 (cos (neg (* -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) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (pow (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 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 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(pow x 4)
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(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))
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)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64))) #s(literal -1 binary64)) #s(literal 1 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 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) x))
(/ (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)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 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)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) 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))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 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)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
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(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) x))
(/ (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)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 6/5 binary64) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 848/945 binary64)) #s(literal 6/5 binary64))) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) x))
(/ (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)))

eval220.0ms (2.1%)

Memory
-7.3MiB live, 297.0MiB allocated
Compiler

Compiled 42 278 to 2 559 computations (93.9% saved)

prune162.0ms (1.5%)

Memory
7.8MiB live, 332.0MiB allocated
Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New1 535221 557
Fresh121426
Picked415
Done000
Total1 551371 588
Accuracy
99.9%
Counts
1 588 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
52.2%
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
52.3%
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
99.4%
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.2%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (neg.f64 (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))))
99.0%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
99.6%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.6%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.3%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
60.6%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
99.4%
(/.f64 (fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.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 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (-.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 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 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 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
99.4%
(/.f64 (-.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))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.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)))) (-.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))))
98.8%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
58.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (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)))))
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) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
99.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
99.3%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
56.4%
#s(literal 1 binary64)
Compiler

Compiled 1 578 to 862 computations (45.4% saved)

simplify268.0ms (2.5%)

Memory
17.8MiB live, 326.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
cost-diff0
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
cost-diff0
(/.f64 (/.f64 #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 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
cost-diff256
(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff1408
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
cost-diff0
(neg.f64 (tan.f64 x))
cost-diff0
(tan.f64 x)
cost-diff0
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff256
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff0
(tan.f64 x)
cost-diff0
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
cost-diff128
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
cost-diff256
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
Rules
9 686×accelerator-lowering-fma.f32
9 686×accelerator-lowering-fma.f64
2 788×*-lowering-*.f32
2 788×*-lowering-*.f64
2 054×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029194
158194
2108194
3322194
41393194
56842194
08121193
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1))
(+ (* (tan x) (neg (tan x))) 1)
(tan x)
x
(neg (tan x))
1
(+ (* (tan x) (tan x)) 1)
(+ (* (* x x) -2) 1)
(* x x)
x
-2
1
(/ (+ (* (tan x) (neg (tan x))) 1) (+ (pow (tan x) 2) 1))
(+ (* (tan x) (neg (tan x))) 1)
(tan x)
x
(neg (tan x))
1
(+ (pow (tan x) 2) 1)
(pow (tan x) 2)
2
(/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x))))
(/ -1 (/ 1 (+ (pow (tan x) 2) -1)))
-1
(/ 1 (+ (pow (tan x) 2) -1))
1
(+ (pow (tan x) 2) -1)
(pow (tan x) 2)
(tan x)
x
2
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2)))
(/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4)))
(- 1 (pow (tan x) 2))
1
(pow (tan x) 2)
(tan x)
x
2
(- 1 (pow (tan x) 4))
(pow (tan x) 4)
4
Outputs
(/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+ (* (tan x) (neg (tan x))) 1)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(tan x)
(tan.f64 x)
x
(neg (tan x))
(neg.f64 (tan.f64 x))
1
#s(literal 1 binary64)
(+ (* (tan x) (tan x)) 1)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+ (* (* x x) -2) 1)
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
(/ (+ (* (tan x) (neg (tan x))) 1) (+ (pow (tan x) 2) 1))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+ (* (tan x) (neg (tan x))) 1)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(tan x)
(tan.f64 x)
x
(neg (tan x))
(neg.f64 (tan.f64 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 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/ -1 (/ 1 (+ (pow (tan x) 2) -1)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(/ 1 (+ (pow (tan x) 2) -1))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ (pow (tan x) 2) -1)
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(+ 1 (* (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 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4)))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(- 1 (pow (tan x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(- 1 (pow (tan x) 4))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow (tan x) 4)
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
4
#s(literal 4 binary64)

localize105.0ms (1%)

Memory
19.8MiB live, 174.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
accuracy99.7%
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy99.6%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy99.4%
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
accuracy99.8%
(/.f64 (/.f64 #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 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
accuracy99.7%
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
accuracy99.6%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy99.6%
(*.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 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy99.6%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy99.5%
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(neg.f64 (tan.f64 x))
accuracy99.8%
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy99.8%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy99.5%
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
Samples
63.0ms256×0valid
Compiler

Compiled 210 to 31 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 9.0ms (21.9% of total)
ival-add: 7.0ms (17% of total)
ival-mult: 7.0ms (17% of total)
ival-tan: 6.0ms (14.6% of total)
ival-sub: 5.0ms (12.1% of total)
ival-pow: 3.0ms (7.3% of total)
ival-pow2: 2.0ms (4.9% of total)
exact: 1.0ms (2.4% of total)
ival-neg: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-14.0MiB live, 23.1MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (+ (* (tan x) (neg (tan x))) 1)>
#<alt (+ (* (tan x) (tan x)) 1)>
#<alt (/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1))>
#<alt (tan x)>
#<alt (+ (* (* x x) -2) 1)>
#<alt (* x x)>
#<alt (/ (+ (* (tan x) (neg (tan x))) 1) (+ (pow (tan x) 2) 1))>
#<alt (neg (tan x))>
#<alt (/ -1 (/ 1 (+ (pow (tan x) 2) -1)))>
#<alt (* (tan x) (tan x))>
#<alt (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x))))>
#<alt (/ 1 (+ (pow (tan x) 2) -1))>
#<alt (* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2)))>
#<alt (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4)))>
#<alt (- 1 (pow (tan x) 2))>
#<alt (pow (tan x) 2)>
#<alt (+ (pow (tan x) 2) 1)>
#<alt (+ (pow (tan x) 2) -1)>
#<alt (pow (tan x) 4)>
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 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (+ 1 (* -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 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 (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 (* -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 (* -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)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt -1>
#<alt (- (* -1 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -5/3 (pow x 2)) 1)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -122/45 (pow x 2)) 5/3)) 1)) 1)>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<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 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))>
#<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 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
Calls

57 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x))))
1.0ms
x
@inf
(* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2)))
1.0ms
x
@-inf
(* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2)))
1.0ms
x
@-inf
(/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x))))
1.0ms
x
@inf
(/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4)))

rewrite411.0ms (3.9%)

Memory
-12.2MiB live, 750.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 942×accelerator-lowering-fma.f32
8 942×accelerator-lowering-fma.f64
2 446×*-lowering-*.f32
2 446×*-lowering-*.f64
2 202×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029131
1191131
2150883
0951282
Stop Event
iter limit
node limit
Counts
19 → 1 927
Calls
Call 1
Inputs
(+ (* (tan x) (neg (tan x))) 1)
(+ (* (tan x) (tan x)) 1)
(/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (tan x) (tan x)) 1))
(tan x)
(+ (* (* x x) -2) 1)
(* x x)
(/ (+ (* (tan x) (neg (tan x))) 1) (+ (pow (tan x) 2) 1))
(neg (tan x))
(/ -1 (/ 1 (+ (pow (tan x) 2) -1)))
(* (tan x) (tan x))
(/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ 1 (* (tan x) (tan x))))
(/ 1 (+ (pow (tan x) 2) -1))
(* (/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4))) (- 1 (pow (tan x) 2)))
(/ (- 1 (pow (tan x) 2)) (- 1 (pow (tan x) 4)))
(- 1 (pow (tan x) 2))
(pow (tan x) 2)
(+ (pow (tan x) 2) 1)
(+ (pow (tan x) 2) -1)
(pow (tan x) 4)
Outputs
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.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 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 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 4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #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 4 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 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 #s(literal 0 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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.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 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (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)))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(+.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(+.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.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 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 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 4 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 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 (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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (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 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
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simplify435.0ms (4.1%)

Memory
37.1MiB live, 580.7MiB allocated
Algorithm
egg-herbie
Rules
16 146×accelerator-lowering-fma.f32
16 146×accelerator-lowering-fma.f64
5 118×*-lowering-*.f32
5 118×*-lowering-*.f64
3 350×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01642706
14132702
211202645
336802645
454492639
080582546
Stop Event
iter limit
node limit
Counts
228 → 228
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 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (+ 1 (* -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))))
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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 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 (* -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))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -5/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -122/45 (pow x 2)) 5/3)) 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
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
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 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
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 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(pow x 4)
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 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 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 1 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
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 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))))
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(/.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 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 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)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 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)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64))) x))
(/ (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))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 1 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
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 6/5 binary64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 848/945 binary64) #s(literal 6/5 binary64))) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))

eval503.0ms (4.8%)

Memory
26.5MiB live, 727.5MiB allocated
Compiler

Compiled 108 033 to 5 768 computations (94.7% saved)

prune386.0ms (3.7%)

Memory
-31.8MiB live, 808.9MiB allocated
Pruning

41 alts after pruning (37 fresh and 4 done)

PrunedKeptTotal
New3 295153 310
Fresh92231
Picked235
Done011
Total3 306413 347
Accuracy
100.0%
Counts
3 347 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
52.2%
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
52.3%
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
99.4%
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
51.4%
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -2 binary64)))))
99.0%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
99.6%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.6%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
60.6%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
99.4%
(/.f64 (fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
51.4%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x 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 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 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 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (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))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.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)))) (-.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))))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
58.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 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))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (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)))))
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) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
99.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (+.f64 (tan.f64 x) #s(literal -1 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
52.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))))
51.8%
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
99.3%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
98.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.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 #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))))
99.2%
(*.f64 (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
2.7%
(*.f64 (*.f64 x x) #s(literal -2 binary64))
60.6%
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
56.4%
#s(literal 1 binary64)
Compiler

Compiled 1 647 to 901 computations (45.3% saved)

simplify194.0ms (1.8%)

Memory
14.7MiB live, 325.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64))
cost-diff128
(/.f64 (fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
cost-diff256
(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 x)))
cost-diff0
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff1408
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
cost-diff384
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
cost-diff704
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -2 binary64))
cost-diff0
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
cost-diff128
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
Rules
5 128×accelerator-lowering-fma.f32
5 128×accelerator-lowering-fma.f64
2 726×*-lowering-*.f32
2 726×*-lowering-*.f64
1 898×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037269
184263
2194255
3509251
41361239
53838239
66206239
08063236
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1))
(- 1 (pow (tan x) 2))
1
(pow (tan x) 2)
(tan x)
x
2
(+ (* (tan x) (tan x)) 1)
(* (* x x) -2)
(* x x)
x
-2
(/ (- 1 (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))) 1)
(- 1 (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x)))))))
1
(/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))
(/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x)))))
(+ 1/2 (* 1/2 (cos (+ x x))))
1/2
(* 1/2 (cos (+ x x)))
(cos (+ x x))
(+ x x)
x
(- 1/2 (* 1/2 (cos (+ x x))))
(/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ (pow (tan x) 2) 1))
(/ -1 (/ 1 (+ (pow (tan x) 2) -1)))
-1
(/ 1 (+ (pow (tan x) 2) -1))
1
(+ (pow (tan x) 2) -1)
(pow (tan x) 2)
(tan x)
x
2
(+ (pow (tan x) 2) 1)
(/ (+ (* (sin x) (* (/ 1 (cos x)) (neg (tan x)))) 1) (+ 1 (* (tan x) (tan x))))
(+ (* (sin x) (* (/ 1 (cos x)) (neg (tan x)))) 1)
(sin x)
x
(* (/ 1 (cos x)) (neg (tan x)))
(/ 1 (cos x))
1
(cos x)
(neg (tan x))
(tan x)
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
Outputs
(/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (pow (tan x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(+ (* (tan x) (tan x)) 1)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(* (* x x) -2)
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* x x)
(*.f64 x x)
x
-2
#s(literal -2 binary64)
(/ (- 1 (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x)))))
(- 1 (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x)))))
1
#s(literal 1 binary64)
(/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
(/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
(+ 1/2 (* 1/2 (cos (+ x x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ x x)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(cos (+ x x))
(cos.f64 (+.f64 x x))
(+ x x)
(+.f64 x x)
x
(- 1/2 (* 1/2 (cos (+ x x))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ (pow (tan x) 2) 1))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/ -1 (/ 1 (+ (pow (tan x) 2) -1)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(/ 1 (+ (pow (tan x) 2) -1))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ (pow (tan x) 2) -1)
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #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)))
(/ (+ (* (sin x) (* (/ 1 (cos x)) (neg (tan x)))) 1) (+ 1 (* (tan x) (tan x))))
(/.f64 (fma.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+ (* (sin x) (* (/ 1 (cos x)) (neg (tan x)))) 1)
(fma.f64 (sin.f64 x) (/.f64 (neg.f64 (tan.f64 x)) (cos.f64 x)) #s(literal 1 binary64))
(sin x)
(sin.f64 x)
x
(* (/ 1 (cos x)) (neg (tan x)))
(/.f64 (neg.f64 (tan.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)
(neg (tan x))
(neg.f64 (tan.f64 x))
(tan x)
(tan.f64 x)
(+ 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))

localize268.0ms (2.5%)

Memory
24.5MiB live, 266.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 (fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 x)))
accuracy99.6%
(*.f64 (tan.f64 x) (tan.f64 x))
accuracy99.6%
(fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64))
accuracy99.8%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
accuracy99.8%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy99.7%
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
accuracy99.6%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy99.7%
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
accuracy75.0%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 (*.f64 x x) #s(literal -2 binary64))
accuracy99.8%
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
accuracy99.7%
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy99.6%
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
Samples
72.0ms120×1valid
50.0ms127×0valid
11.0ms2valid
Compiler

Compiled 282 to 39 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-cos: 28.0ms (27.5% of total)
ival-div: 20.0ms (19.6% of total)
ival-add: 12.0ms (11.8% of total)
ival-mult: 12.0ms (11.8% of total)
ival-tan: 7.0ms (6.9% of total)
adjust: 6.0ms (5.9% of total)
ival-sub: 6.0ms (5.9% of total)
ival-sin: 5.0ms (4.9% of total)
ival-pow2: 4.0ms (3.9% of total)
ival-neg: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-22.4MiB live, 19.6MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (+ (* (tan x) (tan x)) 1)>
#<alt (/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1))>
#<alt (- 1 (pow (tan x) 2))>
#<alt (pow (tan x) 2)>
#<alt (* (* x x) -2)>
#<alt (* x x)>
#<alt (/ (- 1 (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))) 1)>
#<alt (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x)))))>
#<alt (+ 1/2 (* 1/2 (cos (+ x x))))>
#<alt (/ -1 (/ 1 (+ (pow (tan x) 2) -1)))>
#<alt (/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ (pow (tan x) 2) 1))>
#<alt (/ 1 (+ (pow (tan x) 2) -1))>
#<alt (+ (pow (tan x) 2) -1)>
#<alt (* (/ 1 (cos x)) (neg (tan x)))>
#<alt (* (tan x) (tan x))>
#<alt (/ (+ (* (sin x) (* (/ 1 (cos x)) (neg (tan x)))) 1) (+ 1 (* (tan x) (tan x))))>
#<alt (+ (* (sin x) (* (/ 1 (cos x)) (neg (tan x)))) 1)>
#<alt (- 1/2 (* 1/2 (cos (+ x x))))>
Outputs
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 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 (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- (+ 1 (* 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 (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))>
#<alt (- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))>
#<alt (/ (+ 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 (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -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 (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -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 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt -1>
#<alt (- (* -1 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -5/3 (pow x 2)) 1)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -122/45 (pow x 2)) 5/3)) 1)) 1)>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* -5/6 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (- (* -61/120 (pow x 2)) 5/6)) 1))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -277/1008 (pow x 2)) 61/120)) 5/6)) 1))>
#<alt (* -1 (/ (sin x) (pow (cos x) 2)))>
#<alt (* -1 (/ (sin x) (pow (cos x) 2)))>
#<alt (* -1 (/ (sin x) (pow (cos x) 2)))>
#<alt (* -1 (/ (sin x) (pow (cos x) 2)))>
#<alt (* -1 (/ (sin x) (pow (cos x) 2)))>
#<alt (* -1 (/ (sin x) (pow (cos x) 2)))>
#<alt (* -1 (/ (sin x) (pow (cos x) 2)))>
#<alt (* -1 (/ (sin x) (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>
#<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 (* -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 (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 x)))))>
Calls

57 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/ (- 1 (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))) 1)
2.0ms
x
@inf
(/ (- 1 (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))) 1)
1.0ms
x
@-inf
(/ (+ (* (sin x) (* (/ 1 (cos x)) (neg (tan x)))) 1) (+ 1 (* (tan x) (tan x))))
1.0ms
x
@inf
(/ (+ (* (sin x) (* (/ 1 (cos x)) (neg (tan x)))) 1) (+ 1 (* (tan x) (tan x))))
1.0ms
x
@inf
(* (/ 1 (cos x)) (neg (tan x)))

rewrite625.0ms (5.9%)

Memory
21.1MiB live, 848.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 578×accelerator-lowering-fma.f32
4 578×accelerator-lowering-fma.f64
4 250×/-lowering-/.f32
4 250×/-lowering-/.f64
3 784×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037144
1239123
21918121
08765121
Stop Event
iter limit
node limit
Counts
19 → 1 318
Calls
Call 1
Inputs
(+ (* (tan x) (tan x)) 1)
(/ (- 1 (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1))
(- 1 (pow (tan x) 2))
(pow (tan x) 2)
(* (* x x) -2)
(* x x)
(/ (- 1 (/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))) 1)
(/ 1 (/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x))))))
(/ (+ 1/2 (* 1/2 (cos (+ x x)))) (- 1/2 (* 1/2 (cos (+ x x)))))
(+ 1/2 (* 1/2 (cos (+ x x))))
(/ -1 (/ 1 (+ (pow (tan x) 2) -1)))
(/ (/ -1 (/ 1 (+ (pow (tan x) 2) -1))) (+ (pow (tan x) 2) 1))
(/ 1 (+ (pow (tan x) 2) -1))
(+ (pow (tan x) 2) -1)
(* (/ 1 (cos x)) (neg (tan x)))
(* (tan x) (tan x))
(/ (+ (* (sin x) (* (/ 1 (cos x)) (neg (tan x)))) 1) (+ 1 (* (tan x) (tan x))))
(+ (* (sin x) (* (/ 1 (cos x)) (neg (tan x)))) 1)
(- 1/2 (* 1/2 (cos (+ x x))))
Outputs
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 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 4 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 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.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) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 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)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 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 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) (tan.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 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 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 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) (neg.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 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 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 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (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 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #s(literal -2 binary64))
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(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))

simplify670.0ms (6.4%)

Memory
8.7MiB live, 761.5MiB allocated
Algorithm
egg-herbie
Rules
17 134×accelerator-lowering-fma.f32
17 134×accelerator-lowering-fma.f64
4 586×*-lowering-*.f32
4 586×*-lowering-*.f64
4 498×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01842773
14422768
210732639
328842601
455102537
080432440
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 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))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1 (pow x 2)))
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(+ 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 (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
(- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
(- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
(- (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ 1 (pow x 2))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(/ (+ 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 (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))
1
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(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
1
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(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
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(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
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(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
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1
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(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* -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
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(- (* (pow x 2) (- (* -5/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -122/45 (pow x 2)) 5/3)) 1)) 1)
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
-1
(- (pow x 2) 1)
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(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
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(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(* -1 x)
(* x (- (* -5/6 (pow x 2)) 1))
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(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -277/1008 (pow x 2)) 61/120)) 5/6)) 1))
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(* -1 (/ (sin x) (pow (cos x) 2)))
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(* -1 (/ (sin x) (pow (cos x) 2)))
(* -1 (/ (sin x) (pow (cos x) 2)))
(* -1 (/ (sin x) (pow (cos x) 2)))
(* -1 (/ (sin x) (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
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(/ (+ 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 (* -1 (pow x 2)))
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(+ 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 (* -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 (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 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
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) (*.f64 x (*.f64 x x)) x))
(/ (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)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64))) #s(literal -1 binary64)) #s(literal 1 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 #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)))))))
(-.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 (* 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) (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)))))))
(-.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 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -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 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -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 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -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 (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -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))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) (*.f64 x (*.f64 x x)) x))
(/ (- 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)))) (+ 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)))) (+ 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)))) (+ 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 (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -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 (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -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 (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -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 (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -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 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/15 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 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)))) (- 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)))) (- 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)))) (- 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 (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -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 (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -2 x))))))
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(/ (+ 1/2 (* 1/2 (cos (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -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 (neg (* -2 x))))) (- 1/2 (* 1/2 (cos (neg (* -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
#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)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal 1/2 binary64) (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) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(* -1 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -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 (/ (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x x))
(- (* (pow x 2) (- (* -5/3 (pow x 2)) 1)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -122/45 (pow x 2)) 5/3)) 1)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -122/45 binary64)) #s(literal -5/3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1)
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1)
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -5/6 (pow x 2)) 1))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -5/6 binary64)) #s(literal -1 binary64)))
(* x (- (* (pow x 2) (- (* -61/120 (pow x 2)) 5/6)) 1))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/120 binary64)) #s(literal -5/6 binary64)) #s(literal -1 binary64)))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -277/1008 (pow x 2)) 61/120)) 5/6)) 1))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -277/1008 binary64)) #s(literal -61/120 binary64))) #s(literal -5/6 binary64)) #s(literal -1 binary64)))
(* -1 (/ (sin x) (pow (cos x) 2)))
(/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1 (/ (sin x) (pow (cos x) 2)))
(/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1 (/ (sin x) (pow (cos x) 2)))
(/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1 (/ (sin x) (pow (cos x) 2)))
(/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1 (/ (sin x) (pow (cos x) 2)))
(/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1 (/ (sin x) (pow (cos x) 2)))
(/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1 (/ (sin x) (pow (cos x) 2)))
(/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1 (/ (sin x) (pow (cos x) 2)))
(/.f64 (neg.f64 (sin.f64 x)) (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 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) (*.f64 x (*.f64 x x)) x))
(/ (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)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -17/45 binary64) #s(literal -2/3 binary64))) #s(literal -1 binary64)) #s(literal 1 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 (* -1/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 x))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))

eval270.0ms (2.6%)

Memory
-7.8MiB live, 528.0MiB allocated
Compiler

Compiled 44 393 to 3 597 computations (91.9% saved)

prune314.0ms (3%)

Memory
-16.1MiB live, 599.0MiB allocated
Pruning

72 alts after pruning (66 fresh and 6 done)

PrunedKeptTotal
New1 685511 736
Fresh171532
Picked325
Done044
Total1 705721 777
Accuracy
100.0%
Counts
1 777 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
60.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) #s(literal 1 binary64))
52.2%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
52.2%
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
52.3%
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
60.6%
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
60.6%
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 x) (cos.f64 x))) #s(literal 1 binary64))
99.4%
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.3%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.6%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.6%
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.3%
(/.f64 (fma.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.4%
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 x) (cos.f64 x))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.4%
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 x) (cos.f64 x))) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
52.7%
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
98.9%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
98.9%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.5%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 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) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 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 (tan.f64 x) (tan.f64 x))))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
99.3%
(/.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 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.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))))))
99.4%
(/.f64 (-.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))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) #s(literal 1 binary64))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
53.8%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/15 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 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 x x))))))) #s(literal 1 binary64))
10.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
10.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64))
60.6%
(/.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)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))))))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
10.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
58.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
56.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
52.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
10.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
60.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 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) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)))))
55.8%
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) #s(literal 1 binary64))
99.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (+.f64 (tan.f64 x) #s(literal -1 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
60.6%
(/.f64 #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
60.6%
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
60.6%
(-.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))))))
52.2%
(-.f64 #s(literal 1 binary64) (*.f64 x x))
99.3%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal -1 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) (+.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))))
99.2%
(*.f64 (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
56.4%
#s(literal 1 binary64)
Compiler

Compiled 4 057 to 1 300 computations (68% saved)

regimes125.0ms (1.2%)

Memory
13.0MiB live, 246.9MiB allocated
Counts
120 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/15 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #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 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 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)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 x) (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (fma.f64 (sin.f64 x) (neg.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 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 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 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
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(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
Calls

4 calls:

32.0ms
(tan.f64 x)
31.0ms
x
30.0ms
(/.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))))
28.0ms
(*.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)

regimes95.0ms (0.9%)

Memory
-28.5MiB live, 60.3MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/15 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #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 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 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)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 x) (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (fma.f64 (sin.f64 x) (neg.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 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 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 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))))))) #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) (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) (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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
Calls

4 calls:

35.0ms
x
28.0ms
(tan.f64 x)
15.0ms
(/.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))))
14.0ms
(*.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)

regimes76.0ms (0.7%)

Memory
12.5MiB live, 89.1MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/15 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #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 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 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)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 x) (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (fma.f64 (sin.f64 x) (neg.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 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 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 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))))))) #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) (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) (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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
Calls

4 calls:

22.0ms
x
22.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
15.0ms
(tan.f64 x)
14.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%1(*.f64 (tan.f64 x) (tan.f64 x))
99.5%1(tan.f64 x)
Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes106.0ms (1%)

Memory
1.4MiB live, 81.1MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/15 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #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 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 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)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 x) (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (fma.f64 (sin.f64 x) (neg.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 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 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 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))))))) #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) (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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
Calls

4 calls:

39.0ms
(/.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))))
37.0ms
(tan.f64 x)
14.0ms
x
13.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
99.5%1(tan.f64 x)
99.5%1x
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
99.5%1(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes97.0ms (0.9%)

Memory
10.5MiB live, 87.1MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/15 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #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 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 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)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))))) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 x) (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (fma.f64 (sin.f64 x) (neg.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 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 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 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))))))) #s(literal 1 binary64))
Outputs
(-.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))))))
Calls

4 calls:

39.0ms
(tan.f64 x)
29.0ms
(/.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))))
13.0ms
x
12.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
60.6%1(tan.f64 x)
60.6%1x
60.6%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))))
60.6%1(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes66.0ms (0.6%)

Memory
11.7MiB live, 51.2MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/15 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #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 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
Calls

4 calls:

46.0ms
(/.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))))
7.0ms
(tan.f64 x)
6.0ms
x
6.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
60.6%1(*.f64 (tan.f64 x) (tan.f64 x))
60.6%1x
60.6%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))))
60.6%1(tan.f64 x)
Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes41.0ms (0.4%)

Memory
-8.2MiB live, 34.9MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/15 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
Calls

4 calls:

27.0ms
(tan.f64 x)
5.0ms
x
4.0ms
(/.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))))
4.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
56.7%1(*.f64 (tan.f64 x) (tan.f64 x))
56.7%1x
56.7%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))))
56.7%1(tan.f64 x)
Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes34.0ms (0.3%)

Memory
-8.1MiB live, 30.2MiB allocated
Accuracy

Total -35.1b remaining (-125.7%)

Threshold costs -35.1b (-125.7%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/15 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
Outputs
#s(literal 1 binary64)
Calls

4 calls:

20.0ms
(/.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))))
4.0ms
(tan.f64 x)
4.0ms
x
4.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
AccuracySegmentsBranch
56.4%1x
56.4%1(*.f64 (tan.f64 x) (tan.f64 x))
56.4%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))))
56.4%1(tan.f64 x)
Compiler

Compiled 27 to 13 computations (51.9% saved)

simplify15.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Algorithm
egg-herbie
Rules
174×unsub-neg_binary64
112×neg-mul-1_binary64
58×distribute-lft-neg-in_binary64
48×distribute-neg-in_binary64
42×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03190
15490
28690
311790
416090
525790
635590
740690
845790
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #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))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (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)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #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))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (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) (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)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)

soundness1.0s (9.6%)

Memory
-23.6MiB live, 813.5MiB allocated
Rules
17 134×accelerator-lowering-fma.f32
17 134×accelerator-lowering-fma.f64
14 830×accelerator-lowering-fma.f32
14 830×accelerator-lowering-fma.f64
8 942×accelerator-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01722627
14552622
211952562
337982546
454402492
571512492
081822389
029131
1191131
2150883
0951282
037144
1239123
21918121
08765121
01842773
14422768
210732639
328842601
455102537
080432440
0729
14629
235429
3505017
01029617
032126
1216107
01668107
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 415 to 200 computations (51.8% saved)

preprocess62.0ms (0.6%)

Memory
-20.3MiB live, 150.8MiB allocated
Remove

(abs x)

Compiler

Compiled 334 to 130 computations (61.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...