cos2 (problem 3.4.1)

Time bar (total: 5.2s)

start0.0ms (0%)

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

analyze9.0ms (0.2%)

Memory
-37.4MiB live, 6.9MiB allocated; 9ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample2.1s (40.2%)

Memory
36.9MiB live, 1 976.7MiB allocated; 386ms collecting garbage
Samples
758.0ms2 234×2valid
336.0ms4 214×0valid
309.0ms640×3valid
120.0ms1 168×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 837.0ms (64.1% of total)
adjust: 143.0ms (10.9% of total)
ival-div: 129.0ms (9.9% of total)
ival-sub: 115.0ms (8.8% of total)
ival-mult: 68.0ms (5.2% of total)
ival-true: 6.0ms (0.5% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain183.0ms (3.5%)

Memory
7.1MiB live, 196.5MiB allocated; 23ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
671(1.5822526114826905e+161)0-(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
661(8.384344491363401e-162)0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation674
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/u660
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow66
(*.f64 x x)underflow66
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))n/o20
(*.f64 x x)overflow61
Confusion
Predicted +Predicted -
+1330
-2121
Precision
0.9851851851851852
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13300
-24117
Precision?
0.9568345323741008
Recall?
1.0
Freqs
test
numberfreq
0121
1135
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms250×0valid
47.0ms152×2valid
16.0ms38×3valid
8.0ms72×1valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-cos: 45.0ms (60.5% of total)
adjust: 9.0ms (12.1% of total)
ival-mult: 8.0ms (10.8% of total)
ival-div: 6.0ms (8.1% of total)
ival-sub: 5.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess158.0ms (3%)

Memory
23.1MiB live, 292.4MiB allocated; 45ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
13517
210017
315717
422817
530717
654117
7118717
8253817
9500917
068
0108
1278
2628
31088
41548
52088
62948
75288
811738
925208
1049728
080408
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify0.0ms (0%)

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

series3.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
6 → 17
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))
1.0ms
x
@inf
((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))
1.0ms
x
@0
((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))

simplify164.0ms (3.1%)

Memory
2.4MiB live, 232.2MiB allocated; 40ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042154
1123154
2327154
31154154
42765154
55117154
08046136
Stop Event
iter limit
node limit
Counts
17 → 16
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(pow x 2)
(*.f64 x x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)

rewrite139.0ms (2.7%)

Memory
-4.8MiB live, 143.4MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
14519
232119
0333319
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
6 → 146
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
Outputs
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x))
(-.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
#s(literal 1 binary64)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)))))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (cos.f64 x))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval18.0ms (0.3%)

Memory
30.1MiB live, 30.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 350 to 641 computations (80.9% saved)

prune21.0ms (0.4%)

Memory
-22.7MiB live, 21.7MiB allocated; 7ms collecting garbage
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New17414188
Fresh000
Picked011
Done000
Total17415189
Accuracy
100.0%
Counts
189 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
73.6%
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
26.0%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
49.4%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
50.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
17.6%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
12.1%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
49.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
73.6%
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
50.2%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
73.9%
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
51.9%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
53.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 428 to 264 computations (38.3% saved)

simplify0.0ms (0%)

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

series16.0ms (0.3%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Counts
27 → 68
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(sin.f64 x)
x
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(/.f64 (sin.f64 x) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(pow x 2)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1 x)
(* -1 (pow x 4))
(* (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))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(/ (sin x) (+ 1 (cos x)))
(sin x)
(+ 1 (cos x))
(cos x)
(/ (sin x) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* -1 (* (pow x 2) (cos x)))
(pow (sin x) 2)
(* (pow x 2) (+ 1 (cos x)))
(* x (+ 1 (cos x)))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (/ (sin x) (+ (cos x) 1)) (sin x) x (+ (cos x) 1) (cos x) 1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* -1 (* x x)) -1 (* (* (neg x) x) (cos x)) (* (neg x) x) (neg x) (* (* (neg x) x) (* x x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (pow (sin x) 2) 2 (* (* (+ (cos x) 1) x) x) (* (+ (cos x) 1) x))
6.0ms
x
@-inf
((* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (/ (sin x) (+ (cos x) 1)) (sin x) x (+ (cos x) 1) (cos x) 1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* -1 (* x x)) -1 (* (* (neg x) x) (cos x)) (* (neg x) x) (neg x) (* (* (neg x) x) (* x x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (pow (sin x) 2) 2 (* (* (+ (cos x) 1) x) x) (* (+ (cos x) 1) x))
3.0ms
x
@0
((* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (/ (sin x) (+ (cos x) 1)) (sin x) x (+ (cos x) 1) (cos x) 1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* -1 (* x x)) -1 (* (* (neg x) x) (cos x)) (* (neg x) x) (neg x) (* (* (neg x) x) (* x x)) (/ (pow (sin x) 2) (* (* (+ (cos x) 1) x) x)) (pow (sin x) 2) 2 (* (* (+ (cos x) 1) x) x) (* (+ (cos x) 1) x))

simplify150.0ms (2.9%)

Memory
-25.6MiB live, 216.2MiB allocated; 34ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154730
1509727
21520714
34241714
08446662
Stop Event
iter limit
node limit
Counts
68 → 67
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(pow x 2)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1 x)
(* -1 (pow x 4))
(* (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))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(/ (sin x) (+ 1 (cos x)))
(sin x)
(+ 1 (cos x))
(cos x)
(/ (sin x) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* -1 (* (pow x 2) (cos x)))
(pow (sin x) 2)
(* (pow x 2) (+ 1 (cos x)))
(* x (+ 1 (cos x)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(* -1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/315 binary64) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1/2 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/2 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin x)
(sin.f64 x)
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 2) (cos x)))
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(* (pow x 2) (+ 1 (cos x)))
(*.f64 (fma.f64 (cos.f64 x) x x) x)
(* x (+ 1 (cos x)))
(fma.f64 (cos.f64 x) x x)

rewrite227.0ms (4.3%)

Memory
35.8MiB live, 311.9MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031163
051156
1168128
21137125
08574123
Stop Event
iter limit
node limit
iter limit
Counts
27 → 2 647
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(sin.f64 x)
x
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(/.f64 (sin.f64 x) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
Outputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) x) x)))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (-.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (fma.f64 (cos.f64 x) x x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (sin.f64 x)))) (fma.f64 (cos.f64 x) x x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) x))) (fma.f64 (cos.f64 x) x x))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))))) (neg.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x)) (neg.f64 (fma.f64 (cos.f64 x) x x)))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) (*.f64 (fma.f64 (cos.f64 x) x x) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) x x) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 x))) (neg.f64 (fma.f64 (cos.f64 x) x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 x (neg.f64 (cos.f64 x)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (neg.f64 (cos.f64 x)) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 (neg.f64 (cos.f64 x)) x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 x))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (*.f64 x (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 x (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 x (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 (*.f64 (cos.f64 x) x) x))) (*.f64 x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))) (*.f64 x (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) x) (*.f64 (neg.f64 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 x)))) (*.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (sin.f64 (+.f64 (+.f64 x (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (sin.f64 (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (PI.f64)) (+.f64 x (PI.f64)))) (cos.f64 (+.f64 (+.f64 x (PI.f64)) (+.f64 x (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (PI.f64)) (neg.f64 x))) (cos.f64 (+.f64 (+.f64 x (PI.f64)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 x) (+.f64 x (PI.f64)))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (+.f64 x (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (PI.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 (neg.f64 (neg.f64 (cos.f64 x))) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 (cos.f64 x))) (fabs.f64 (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 (neg.f64 (fma.f64 (cos.f64 x) x x)) (neg.f64 x))
(*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (fma.f64 (cos.f64 x) x x) x)
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (cos.f64 x) x x)))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 x (fma.f64 (cos.f64 x) x x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (fma.f64 (neg.f64 (cos.f64 x)) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(neg.f64 (*.f64 (fma.f64 (cos.f64 x) x x) (neg.f64 x)))
(fma.f64 (neg.f64 (*.f64 (neg.f64 x) (cos.f64 x))) x (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 x x) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (neg.f64 x) (*.f64 x x))
(fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x) (*.f64 x x))
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 x x) (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (cos.f64 x) (*.f64 x x) (*.f64 x x))
(fma.f64 x (neg.f64 (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x x))
(fma.f64 x (*.f64 (cos.f64 x) x) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) x))
(+.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 x) x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (fma.f64 (neg.f64 (cos.f64 x)) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) x x)) (fma.f64 (neg.f64 (cos.f64 x)) (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) x x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(neg.f64 (neg.f64 (fma.f64 (cos.f64 x) x x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (cos.f64 x) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x))
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 x) x))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 x) x)) (*.f64 (cos.f64 x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 x) x))
(fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) x))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (cos.f64 x) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 x) x))
(fma.f64 (cos.f64 x) x x)
(fma.f64 x (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (cos.f64 x) x))
(fma.f64 x (cos.f64 x) x)
(-.f64 (*.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 x (*.f64 (neg.f64 x) (cos.f64 x)))
(+.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x) (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) x))
(+.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) x) x)
(+.f64 x (*.f64 (cos.f64 x) x))

eval175.0ms (3.3%)

Memory
-22.0MiB live, 256.4MiB allocated; 52ms collecting garbage
Compiler

Compiled 35 980 to 4 286 computations (88.1% saved)

prune36.0ms (0.7%)

Memory
21.6MiB live, 115.0MiB allocated; 4ms collecting garbage
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New1 655141 669
Fresh549
Picked325
Done011
Total1 663211 684
Accuracy
100.0%
Counts
1 684 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
49.7%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x))))
73.6%
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
26.0%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
49.6%
(/.f64 (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)) x)
50.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
49.6%
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) x)
27.2%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
50.6%
(/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) x)
12.1%
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
12.1%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x))) x) (*.f64 x x)))
1.6%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
49.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
99.7%
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
49.6%
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
74.2%
(*.f64 #s(approx (/ (sin x) (+ (cos x) 1)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (*.f64 x x)))
51.9%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
53.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
74.2%
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))
Compiler

Compiled 630 to 400 computations (36.5% saved)

simplify0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series18.0ms (0.3%)

Memory
-17.2MiB live, 28.1MiB allocated; 4ms collecting garbage
Counts
31 → 63
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 x (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)))
(/.f64 (neg.f64 x) (*.f64 x x))
(neg.f64 x)
(/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x))
(*.f64 (cos.f64 x) x)
Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(pow x 2)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(sqrt x)
(/ -1 x)
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(* -1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) (pow x 2))
(/ (sin x) x)
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(cos x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(/ (cos x) x)
(* x (cos x))
(* -1 (/ (- 1 (cos x)) (* (pow x 2) (pow (sqrt -1) 2))))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (* (/ x (* x x)) (/ (- 1 (cos x)) x)) (/ x (* x x)) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- 1 (cos x)) (* (* (sqrt x) (sqrt x)) x)) (* (* (sqrt x) (sqrt x)) x) (* (sqrt x) (sqrt x)) (sqrt x) (+ (* (/ -1 x) (/ -1 x)) (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x)))) (/ -1 x) -1 (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x))) (/ (neg x) (* x x)) (neg x) (/ (* (cos x) x) (* x x)) (* (cos x) x))
6.0ms
x
@inf
((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (* (/ x (* x x)) (/ (- 1 (cos x)) x)) (/ x (* x x)) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- 1 (cos x)) (* (* (sqrt x) (sqrt x)) x)) (* (* (sqrt x) (sqrt x)) x) (* (sqrt x) (sqrt x)) (sqrt x) (+ (* (/ -1 x) (/ -1 x)) (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x)))) (/ -1 x) -1 (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x))) (/ (neg x) (* x x)) (neg x) (/ (* (cos x) x) (* x x)) (* (cos x) x))
2.0ms
x
@0
((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (* (/ x (* x x)) (/ (- 1 (cos x)) x)) (/ x (* x x)) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- 1 (cos x)) (* (* (sqrt x) (sqrt x)) x)) (* (* (sqrt x) (sqrt x)) x) (* (sqrt x) (sqrt x)) (sqrt x) (+ (* (/ -1 x) (/ -1 x)) (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x)))) (/ -1 x) -1 (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x))) (/ (neg x) (* x x)) (neg x) (/ (* (cos x) x) (* x x)) (* (cos x) x))

simplify100.0ms (1.9%)

Memory
-7.4MiB live, 139.4MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133628
1418628
21249604
34596603
08578559
Stop Event
iter limit
node limit
Counts
63 → 62
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(pow x 2)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(sqrt x)
(/ -1 x)
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(* -1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) (pow x 2))
(/ (sin x) x)
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(cos x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(/ (cos x) x)
(* x (cos x))
(* -1 (/ (- 1 (cos x)) (* (pow x 2) (pow (sqrt -1) 2))))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(* -1 x)
(neg.f64 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* -1 (/ (- 1 (cos x)) (* (pow x 2) (pow (sqrt -1) 2))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite105.0ms (2%)

Memory
18.6MiB live, 64.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035175
060152
1208127
01802127
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
31 → 618
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 x (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)))
(/.f64 (neg.f64 x) (*.f64 x x))
(neg.f64 x)
(/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x))
(*.f64 (cos.f64 x) x)
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 (sqrt.f64 x))) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) x) x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (neg.f64 x))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) (*.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) x)) (*.f64 (sin.f64 x) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x) (*.f64 (neg.f64 x) (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))) (*.f64 x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))) (*.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) x (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -1 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 x))) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (/.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 (cos.f64 x) x) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (cos.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -2 binary64)))
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(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 x) x) x))
(*.f64 (cos.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (cos.f64 x)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x)
(/.f64 (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) x)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (/.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x)
(/.f64 (*.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 x (*.f64 (neg.f64 x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (cos.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))
(neg.f64 (/.f64 (/.f64 (cos.f64 x) x) x))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (neg.f64 x) (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 x (*.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (/.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 x))
(*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x))
(*.f64 x (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (/.f64 (*.f64 (cos.f64 x) x) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) x) x) x)
(/.f64 (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (cos.f64 x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 x x))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x))
(/.f64 (cos.f64 x) x)
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x)))
(*.f64 (*.f64 (cos.f64 x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (cos.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))

eval149.0ms (2.9%)

Memory
-1.4MiB live, 136.4MiB allocated; 18ms collecting garbage
Compiler

Compiled 17 634 to 2 539 computations (85.6% saved)

prune31.0ms (0.6%)

Memory
12.3MiB live, 59.0MiB allocated; 2ms collecting garbage
Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New90410914
Fresh31013
Picked145
Done033
Total90827935
Accuracy
100.0%
Counts
935 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.8%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x))
2.6%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x))))
2.8%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) #s(approx (/ (* (cos x) x) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
26.3%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
26.0%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
49.6%
(/.f64 (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)) x)
50.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
49.6%
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) x)
27.2%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
50.6%
(/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) x)
12.1%
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
1.6%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
49.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
49.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
2.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
26.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
41.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 (neg.f64 x) x)))
99.3%
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
99.7%
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
49.6%
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
2.6%
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x))
50.6%
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
74.2%
(*.f64 #s(approx (/ (sin x) (+ (cos x) 1)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (*.f64 x x)))
51.9%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
53.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
74.2%
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))
Compiler

Compiled 822 to 495 computations (39.8% saved)

simplify0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series14.0ms (0.3%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Counts
33 → 72
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) x)
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (sin.f64 x) (sqrt.f64 x))
(sin.f64 x)
x
(sqrt.f64 x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)) x)
(/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x))
(-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))
(neg.f64 x)
(neg.f64 (cos.f64 x))
Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(sqrt x)
(+ (sqrt x) (* -1/6 (sqrt (pow x 5))))
(+ (sqrt x) (* (pow x 2) (+ (* -1/6 (sqrt x)) (* 1/120 (sqrt (pow x 5))))))
(+ (sqrt x) (* (pow x 2) (+ (* -1/6 (sqrt x)) (* (pow x 2) (+ (* -1/5040 (sqrt (pow x 5))) (* 1/120 (sqrt x)))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* -1 x)
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) (pow x 2))
(/ (sin x) x)
(* (sqrt (/ 1 x)) (sin x))
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(/ (- 1 (cos x)) x)
(* x (- 1 (cos x)))
(* x (cos x))
(* -1 (cos x))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (* (cos (* 1/2 x)) (pow (sqrt -1) 2)))))
(* -1 (/ (sin x) (* (pow x 2) (pow (sqrt -1) 2))))
(* -1 (/ (sin x) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (- 1 (cos x)) (* (pow x 2) (pow (sqrt -1) 2))))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) x)
(* x (+ 1 (* -1 (cos x))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((* (/ (/ (/ (sin x) (sqrt x)) (sqrt x)) x) (tan (/ x 2))) (/ (/ (/ (sin x) (sqrt x)) (sqrt x)) x) (/ (/ (sin x) (sqrt x)) (sqrt x)) (/ (sin x) (sqrt x)) (sin x) x (sqrt x) (tan (/ x 2)) (/ x 2) 2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (/ (- 1 (cos x)) (* (* (sqrt x) (sqrt x)) x)) (- 1 (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* (* (sqrt x) (sqrt x)) x) (* (sqrt x) (sqrt x)) (* (/ 1 x) (/ (- 1 (cos x)) x)) (/ 1 x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (/ (/ (- x (* (neg x) (neg (cos x)))) (* x x)) x) (/ (- x (* (neg x) (neg (cos x)))) (* x x)) (- x (* (neg x) (neg (cos x)))) (* (neg x) (neg (cos x))) (neg x) (neg (cos x)))
3.0ms
x
@inf
((* (/ (/ (/ (sin x) (sqrt x)) (sqrt x)) x) (tan (/ x 2))) (/ (/ (/ (sin x) (sqrt x)) (sqrt x)) x) (/ (/ (sin x) (sqrt x)) (sqrt x)) (/ (sin x) (sqrt x)) (sin x) x (sqrt x) (tan (/ x 2)) (/ x 2) 2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (/ (- 1 (cos x)) (* (* (sqrt x) (sqrt x)) x)) (- 1 (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* (* (sqrt x) (sqrt x)) x) (* (sqrt x) (sqrt x)) (* (/ 1 x) (/ (- 1 (cos x)) x)) (/ 1 x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (/ (/ (- x (* (neg x) (neg (cos x)))) (* x x)) x) (/ (- x (* (neg x) (neg (cos x)))) (* x x)) (- x (* (neg x) (neg (cos x)))) (* (neg x) (neg (cos x))) (neg x) (neg (cos x)))
2.0ms
x
@0
((* (/ (/ (/ (sin x) (sqrt x)) (sqrt x)) x) (tan (/ x 2))) (/ (/ (/ (sin x) (sqrt x)) (sqrt x)) x) (/ (/ (sin x) (sqrt x)) (sqrt x)) (/ (sin x) (sqrt x)) (sin x) x (sqrt x) (tan (/ x 2)) (/ x 2) 2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (/ (- 1 (cos x)) (* (* (sqrt x) (sqrt x)) x)) (- 1 (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* (* (sqrt x) (sqrt x)) x) (* (sqrt x) (sqrt x)) (* (/ 1 x) (/ (- 1 (cos x)) x)) (/ 1 x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (/ (/ (- x (* (neg x) (neg (cos x)))) (* x x)) x) (/ (- x (* (neg x) (neg (cos x)))) (* x x)) (- x (* (neg x) (neg (cos x)))) (* (neg x) (neg (cos x))) (neg x) (neg (cos x)))

simplify142.0ms (2.7%)

Memory
-6.3MiB live, 92.9MiB allocated; 24ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157717
1522705
21709704
35551704
08882654
Stop Event
iter limit
node limit
Counts
72 → 71
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(sqrt x)
(+ (sqrt x) (* -1/6 (sqrt (pow x 5))))
(+ (sqrt x) (* (pow x 2) (+ (* -1/6 (sqrt x)) (* 1/120 (sqrt (pow x 5))))))
(+ (sqrt x) (* (pow x 2) (+ (* -1/6 (sqrt x)) (* (pow x 2) (+ (* -1/5040 (sqrt (pow x 5))) (* 1/120 (sqrt x)))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* -1 x)
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) (pow x 2))
(/ (sin x) x)
(* (sqrt (/ 1 x)) (sin x))
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(/ (- 1 (cos x)) x)
(* x (- 1 (cos x)))
(* x (cos x))
(* -1 (cos x))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (* (cos (* 1/2 x)) (pow (sqrt -1) 2)))))
(* -1 (/ (sin x) (* (pow x 2) (pow (sqrt -1) 2))))
(* -1 (/ (sin x) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (- 1 (cos x)) (* (pow x 2) (pow (sqrt -1) 2))))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) x)
(* x (+ 1 (* -1 (cos x))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/6 (sqrt (pow x 5))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal -1/6 binary64) (sqrt.f64 x))
(+ (sqrt x) (* (pow x 2) (+ (* -1/6 (sqrt x)) (* 1/120 (sqrt (pow x 5))))))
(fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/120 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/6 binary64))) (*.f64 x x) (sqrt.f64 x))
(+ (sqrt x) (* (pow x 2) (+ (* -1/6 (sqrt x)) (* (pow x 2) (+ (* -1/5040 (sqrt (pow x 5))) (* 1/120 (sqrt x)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal -1/5040 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/120 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)
(* -1 x)
(neg.f64 x)
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* (sqrt (/ 1 x)) (sin x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 x))
(sin x)
(sin.f64 x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* x (- 1 (cos x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (* (cos (* 1/2 x)) (pow (sqrt -1) 2)))))
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(* -1 (/ (sin x) (* (pow x 2) (pow (sqrt -1) 2))))
(/.f64 (/.f64 (sin.f64 x) x) x)
(* -1 (/ (sin x) (* x (pow (sqrt -1) 2))))
(/.f64 (sin.f64 x) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (/ (- 1 (cos x)) (* (pow x 2) (pow (sqrt -1) 2))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* x (+ 1 (* -1 (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)

rewrite213.0ms (4.1%)

Memory
1.8MiB live, 143.0MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034203
063175
1223166
21626166
08564163
Stop Event
iter limit
node limit
iter limit
Counts
33 → 770
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) x)
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (sin.f64 x) (sqrt.f64 x))
(sin.f64 x)
x
(sqrt.f64 x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)) x)
(/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x))
(-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))
(neg.f64 x)
(neg.f64 (cos.f64 x))
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (sqrt.f64 x)))
(*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) x))
(/.f64 (neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (sin.f64 x) x)) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) x) x))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) x) x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (tan.f64 (/.f64 x #s(literal -2 binary64))))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (sin.f64 x) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (/.f64 x #s(literal -2 binary64))))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (sin.f64 x) x)))) x)
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal -2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) x)))
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(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 x))
x
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))) (neg.f64 (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64))))))
(neg.f64 (cos.f64 x))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (PI.f64) x)))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (PI.f64) x))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))

eval188.0ms (3.6%)

Memory
18.5MiB live, 197.5MiB allocated; 34ms collecting garbage
Compiler

Compiled 28 665 to 4 282 computations (85.1% saved)

prune49.0ms (0.9%)

Memory
-25.9MiB live, 110.0MiB allocated; 9ms collecting garbage
Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New1 28371 290
Fresh21315
Picked235
Done167
Total1 288291 317
Accuracy
100.0%
Counts
1 317 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.8%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x))
2.6%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x))))
2.8%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) #s(approx (/ (* (cos x) x) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
26.3%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
49.6%
(/.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 x x)) x)
26.0%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
49.6%
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x)
50.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
27.2%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
50.6%
(/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) x)
12.1%
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
1.6%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
49.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
2.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
2.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)) x))
2.6%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
3.4%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
26.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
41.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 (neg.f64 x) x)))
99.3%
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
99.7%
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
2.6%
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x))
50.5%
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
50.6%
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
74.2%
(*.f64 #s(approx (/ (sin x) (+ (cos x) 1)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (*.f64 x x)))
51.9%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
53.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
74.2%
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))
Compiler

Compiled 1 299 to 501 computations (61.4% saved)

regimes26.0ms (0.5%)

Memory
-13.5MiB live, 40.9MiB allocated; 8ms collecting garbage
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) #s(approx (/ (* (cos x) x) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x))) x) (*.f64 x x)))
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))
(*.f64 #s(approx (/ (sin x) (+ (cos x) 1)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Calls

2 calls:

11.0ms
x
9.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.7%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.7%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes19.0ms (0.4%)

Memory
34.0MiB live, 34.0MiB allocated; 0ms collecting garbage
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) #s(approx (/ (* (cos x) x) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 x x)) x)
(/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x))) x) (*.f64 x x)))
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))
(*.f64 #s(approx (/ (sin x) (+ (cos x) 1)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

9.0ms
x
8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.2%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.7%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) #s(approx (/ (* (cos x) x) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (0.2%)

Memory
-30.0MiB live, 16.7MiB allocated; 2ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) #s(approx (/ (* (cos x) x) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x))))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
Calls

2 calls:

5.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
53.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
76.6%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
76.6%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Accuracy

Total -0.8b remaining (-2.8%)

Threshold costs -0.8b (-2.8%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
53.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
53.0%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch13.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.00040851561313548593
7.2312604018464075
Samples
6.0ms128×0valid
Compiler

Compiled 195 to 162 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (27.5% of total)
ival-div: 1.0ms (27.5% of total)
ival-cos: 1.0ms (27.5% of total)
ival-mult: 1.0ms (27.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.00040851561313548593
7.2312604018464075
Compiler

Compiled 195 to 162 computations (16.9% saved)

bsearch11.0ms (0.2%)

Memory
-31.6MiB live, 14.9MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
7.866322158136909e+44
2.6742314598627017e+45
Samples
7.0ms80×0valid
Compiler

Compiled 201 to 125 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 4.0ms (72.9% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.4%)

Memory
31.5MiB live, 31.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
2.2767940198238116e+75
8.293949903912695e+85
Samples
12.0ms160×0valid
Compiler

Compiled 211 to 180 computations (14.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 5.0ms (60.4% of total)
ival-sub: 1.0ms (12.1% of total)
ival-div: 1.0ms (12.1% of total)
ival-mult: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify112.0ms (2.1%)

Memory
-30.6MiB live, 66.0MiB allocated; 105ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047141
183137
2218133
31009133
42871133
54739133
66239133
77854133
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 1249999999999999991424773794933776618457399296 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) x))))
(if (<=.f64 x #s(literal 46000000000000000236440533700863270450819655666791378489038471321180545482752 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 1249999999999999991424773794933776618457399296 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(approx (* (/ (neg x) (* x x)) (/ (* (cos x) x) (* x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) x))))
(if (<=.f64 x #s(literal 46000000000000000236440533700863270450819655666791378489038471321180545482752 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

derivations551.0ms (10.5%)

Memory
36.2MiB live, 452.6MiB allocated; 147ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042154
1123154
2327154
31154154
42765154
55117154
08046136
0133628
1418628
21249604
34596603
08578559
0619
01019
14519
232119
0333319
031163
051156
1168128
21137125
08574123
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 141 to 48 computations (66% saved)

preprocess46.0ms (0.9%)

Memory
15.2MiB live, 60.2MiB allocated; 6ms collecting garbage
Remove

(abs x)

Compiler

Compiled 320 to 124 computations (61.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...