mixedcos

Time bar (total: 6.6s)

start0.0ms (0%)

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

analyze161.0ms (2.4%)

Memory
-28.0MiB live, 205.9MiB allocated; 29ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
18.8%18.7%81.1%0.1%0%0%0%5
28.1%28.1%71.8%0.1%0%0%0%6
42.2%42.1%57.7%0.1%0%0%0%7
49.2%49.1%50.7%0.1%0%0%0%8
57.4%57.3%42.5%0.1%0%0%0%9
67%66.9%33%0.1%0%0%0%10
71.8%71.7%28.2%0.1%0%0%0%11
76.9%76.8%23.1%0.1%0%0%0%12
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.6s (24.5%)

Memory
6.9MiB live, 1 445.5MiB allocated; 1.0s collecting garbage
Samples
951.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 642.0ms
ival-mult: 207.0ms (32.2% of total)
ival-cos: 204.0ms (31.8% of total)
ival-pow2: 167.0ms (26% of total)
ival-div: 47.0ms (7.3% of total)
ival-true: 6.0ms (0.9% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 4.0ms (0.6% of total)
adjust: 3.0ms (0.5% of total)
Bogosity

explain166.0ms (2.5%)

Memory
3.9MiB live, 202.9MiB allocated; 21ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
590-3(7.607461212452938e-207 1.8555626017060143e+61 -7.744758009200876e+45)(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
320-1(-9.001894959900454e+171 8.775313488674218e-216 5.460527126444059e-162)(*.f64 x (pow.f64 s #s(literal 2 binary64)))
160-1(4.464609552943373e+24 -7.3536625951684135e-28 -5.1637486280257733e-172)(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
11(5.914231729264992e+286 -2.4038367006288766e+63 -1.1878636147284527e-189)0-(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
00-0-(pow.f64 c #s(literal 2 binary64))
00-0-(*.f64 #s(literal 2 binary64) x)
0132(-2.4197495442883174e+140 8.093857744527482e+199 -5.298855301955623e+204)0-(cos.f64 (*.f64 #s(literal 2 binary64) x))
00-0-s
00-0-c
00-0-#s(literal 2 binary64)
00-0-x
00-0-(pow.f64 s #s(literal 2 binary64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (*.f64 #s(literal 2 binary64) x))sensitivity1320
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))o*u220
↳(pow.f64 c #s(literal 2 binary64))overflow68
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)underflow76
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))underflow78
↳(pow.f64 s #s(literal 2 binary64))underflow72
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*o190
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))u*o140
↳(pow.f64 c #s(literal 2 binary64))underflow60
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow78
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow65
↳(pow.f64 s #s(literal 2 binary64))overflow69
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*u130
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*u120
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*o100
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*u100
/.f64(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))n/o20
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow78
↳(pow.f64 c #s(literal 2 binary64))overflow68
↳(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))overflow92
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow65
↳(pow.f64 s #s(literal 2 binary64))overflow69
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*o20
Confusion
Predicted +Predicted -
+792
-10075
Precision
0.441340782122905
Recall
0.9753086419753086
Confusion?
Predicted +Predicted MaybePredicted -
+7902
-100075
Precision?
0.441340782122905
Recall?
0.9753086419753086
Freqs
test
numberfreq
077
1126
249
34
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms512×0valid
Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-pow2: 17.0ms (37% of total)
ival-mult: 14.0ms (30.5% of total)
ival-cos: 11.0ms (23.9% of total)
ival-div: 3.0ms (6.5% 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)

preprocess186.0ms (2.8%)

Memory
28.7MiB live, 165.7MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047161
1146147
2480147
31956147
45003147
57805147
01216
02016
14016
29816
335816
4218416
5492716
6565316
7577816
8616816
9732216
0828816
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) (*.f64 (*.f64 s c) (*.f64 x x)))
Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify135.0ms (2%)

Memory
-9.3MiB live, 129.2MiB allocated; 35ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
02056
14056
29856
335856
4218456
5492756
6565356
7577856
8616856
9732256
0828856
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(pow.f64 c #s(literal 2 binary64))
c
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(pow.f64 s #s(literal 2 binary64))
s
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) (*.f64 (*.f64 s c) (*.f64 x x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))
(pow.f64 c #s(literal 2 binary64))
(*.f64 c c)
c
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(*.f64 (*.f64 s s) x)
(pow.f64 s #s(literal 2 binary64))
(*.f64 s s)
s

localize68.0ms (1%)

Memory
-17.7MiB live, 73.6MiB allocated; 15ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11262847661783103
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
accuracy3.2920311044540216
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy7.737814508051909
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy12.259578105401683
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
Samples
31.0ms256×0valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-pow2: 8.0ms (37.2% of total)
ival-cos: 6.0ms (27.9% of total)
ival-mult: 6.0ms (27.9% of total)
ival-div: 1.0ms (4.7% 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)

series21.0ms (0.3%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Counts
6 → 14
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
s
@0
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms
x
@inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms
x
@0
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms
c
@0
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms
x
@-inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))

simplify179.0ms (2.7%)

Memory
1.9MiB live, 187.1MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050222
1144206
2519188
33912184
08363174
Stop Event
1×iter limit
1×node limit
Counts
14 → 14
Calls
Call 1
Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))

rewrite141.0ms (2.1%)

Memory
-15.9MiB live, 96.2MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01246
02046
15946
226142
0256342
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
6 → 256
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
Outputs
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) c))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 c c) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 s s) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) x))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 s s) x) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 c c)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 s s) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 c c) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 c c)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 (*.f64 s s) x) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) c) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)))
(*.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 s x)) s)
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(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) (*.f64 x x))
(*.f64 s (*.f64 (*.f64 s x) x))
(*.f64 s (*.f64 s (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 s s) x))
(fma.f64 (*.f64 x x) (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))))
(fma.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))))

eval39.0ms (0.6%)

Memory
7.5MiB live, 52.7MiB allocated; 8ms collecting garbage
Compiler

Compiled 6 488 to 894 computations (86.2% saved)

prune22.0ms (0.3%)

Memory
-0.6MiB live, 44.1MiB allocated; 14ms collecting garbage
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New25020270
Fresh000
Picked101
Done000
Total25120271
Accuracy
99.4%
Counts
271 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(fma.f64 (/.f64 (cos.f64 x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
79.7%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x))
▶77.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
▶90.6%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
10.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
▶81.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
79.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
90.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
77.3%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))
79.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
79.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
▶79.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
77.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
90.6%
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) x))
77.3%
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) c))
90.6%
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
▶50.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
44.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
77.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s))
62.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
Compiler

Compiled 936 to 604 computations (35.5% saved)

simplify135.0ms (2%)

Memory
-10.8MiB live, 135.8MiB allocated; 22ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
cost-diff0
(*.f64 #s(literal -2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
cost-diff2
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
cost-diff2
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
cost-diff2
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
cost-diff3
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
cost-diff0
(*.f64 #s(literal -2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
cost-diff0
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043304
072302
1159290
2521284
33207284
08264284
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(*.f64 c s)
c
s
#s(literal 2 binary64)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 x x) c)
c
(*.f64 (*.f64 s c) s)
(*.f64 s c)
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 x c)
c
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(*.f64 c s)
c
s
(*.f64 x x)
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 c s)
(*.f64 s c)
c
s
#s(literal 2 binary64)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 x x) c)
c
(*.f64 (*.f64 s c) s)
(*.f64 s c)
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 x c)
(*.f64 c x)
c
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 c s)
(*.f64 s c)
c
s
(*.f64 x x)

localize162.0ms (2.4%)

Memory
15.2MiB live, 158.4MiB allocated; 14ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy0.11262847661783103
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
accuracy0.203125
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy11.131132818721618
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
accuracy3.2920311044540216
(*.f64 (*.f64 (*.f64 s s) x) x)
accuracy3.5758045856176803
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
accuracy3.8519150520943213
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
accuracy7.737814508051909
(*.f64 (*.f64 s s) x)
accuracy0.11262847661783103
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
accuracy4.075762353666996
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
accuracy6.172825694346646
(*.f64 (*.f64 (*.f64 s s) x) c)
accuracy7.737814508051909
(*.f64 (*.f64 s s) x)
accuracy6.992036615353991
(*.f64 (*.f64 x x) c)
accuracy9.76676319481525
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
accuracy15.556637393522339
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
accuracy19.904843740218716
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
accuracy0.1015625
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
accuracy0.203125
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy2.38388826388817
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
accuracy3.5327435862919976
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
Samples
117.0ms256×0valid
Compiler

Compiled 289 to 43 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 42.0ms (57.7% of total)
ival-div: 11.0ms (15.1% of total)
ival-cos: 11.0ms (15.1% of total)
ival-pow2: 7.0ms (9.6% of total)
ival-add: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series85.0ms (1.3%)

Memory
-12.1MiB live, 77.3MiB allocated; 9ms collecting garbage
Counts
23 → 37
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(*.f64 (*.f64 x x) c)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* 2 x)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(* (pow c 2) (* (pow s 2) x))
(* c (pow x 2))
(* (pow s 2) x)
(* c (* (pow s 2) x))
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) x)
(cos (* -2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(cos (* 2 x))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (pow s 2))
Calls

9 calls:

TimeVariablePointExpression
39.0ms
s
@inf
((/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))
8.0ms
x
@-inf
((/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))
8.0ms
c
@0
((/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))
5.0ms
x
@inf
((/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))
5.0ms
c
@-inf
((/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))

simplify363.0ms (5.5%)

Memory
31.8MiB live, 223.8MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090545
1256501
2938469
36430453
08881435
Stop Event
1×iter limit
1×node limit
Counts
37 → 37
Calls
Call 1
Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* 2 x)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(* (pow c 2) (* (pow s 2) x))
(* c (pow x 2))
(* (pow s 2) x)
(* c (* (pow s 2) x))
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) x)
(cos (* -2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(cos (* 2 x))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (pow s 2))
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) c)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) c)) s) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) s) (*.f64 (*.f64 s c) c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s) s)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 s s)) c)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 s s) c)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) s) (*.f64 s c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 s c))) (*.f64 x x))
(* (pow c 2) (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)
(* c (pow x 2))
(*.f64 (*.f64 x x) c)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* c (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 s s) x) c)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s)
(/ (cos (* -2 x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x)
(cos (* -2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ -2 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s)
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) x) x)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) c)) x)
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(* (pow c 2) (pow s 2))
(*.f64 (*.f64 (*.f64 s c) c) s)

rewrite92.0ms (1.4%)

Memory
-8.9MiB live, 48.6MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043229
072227
1217189
01092189
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
23 → 474
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(*.f64 (*.f64 x x) c)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s s) x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 s s)) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) c) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) c)) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x))) (neg.f64 (*.f64 (*.f64 (*.f64 s s) x) c)))
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(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 s c)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 s c)) #s(literal 2 binary64))))
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(pow.f64 (*.f64 s x) #s(literal 2 binary64))

eval43.0ms (0.6%)

Memory
-11.7MiB live, 75.5MiB allocated; 12ms collecting garbage
Compiler

Compiled 9 512 to 1 267 computations (86.7% saved)

prune25.0ms (0.4%)

Memory
7.3MiB live, 51.8MiB allocated; 3ms collecting garbage
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New35521376
Fresh13215
Picked325
Done000
Total37125396
Accuracy
100.0%
Counts
396 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.1%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c))
✓77.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
86.8%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x))
▶96.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
68.2%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
76.8%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
79.1%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
79.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (*.f64 x x)))
79.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
91.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) (*.f64 s x))))
92.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
▶93.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
▶67.9%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
66.6%
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) c)) s) s))
59.5%
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
60.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
54.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))))
51.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
▶56.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
✓50.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
64.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
55.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 s c) s)))))
62.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
20.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
▶28.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
Compiler

Compiled 1 227 to 840 computations (31.5% saved)

simplify162.0ms (2.4%)

Memory
-14.0MiB live, 88.2MiB allocated; 11ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x))))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s)
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)
cost-diff0
#s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s))
cost-diff0
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
cost-diff3
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))
cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 s c))
cost-diff0
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))
cost-diff0
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c)))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
cost-diff0
(*.f64 #s(literal -2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
cost-diff0
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060380
089380
1204380
2679368
32568368
47004368
08096368
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 x (*.f64 s c))
(*.f64 s c)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))
(/.f64 #s(literal -2 binary64) (*.f64 s c))
#s(literal -2 binary64)
(*.f64 s c)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 x x) (*.f64 s c))
(*.f64 s c)
s
c
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c))
#s(literal 1 binary64)
(*.f64 (*.f64 x x) c)
(*.f64 x x)
x
c
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x))))
(*.f64 x c)
c
(*.f64 s (*.f64 s (*.f64 c x)))
s
(*.f64 s (*.f64 c x))
(*.f64 c x)
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 s s)) (*.f64 c x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 (*.f64 c x) c) (*.f64 s s))
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 c s) x)
(*.f64 s c)
(*.f64 c s)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) c) s)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) c) s))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) c) s)
(/.f64 #s(literal -2 binary64) (*.f64 s c))
(/.f64 #s(literal -2 binary64) (*.f64 c s))
#s(literal -2 binary64)
(*.f64 s c)
(*.f64 c s)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 (*.f64 c x) c) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 x x) (*.f64 s c))
(*.f64 (*.f64 (*.f64 c s) x) x)
(*.f64 s c)
(*.f64 c s)
s
c
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c))
#s(literal 1 binary64)
(*.f64 (*.f64 x x) c)
(*.f64 x x)
x
c
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 s s)) (*.f64 c x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x))))
(*.f64 (*.f64 (*.f64 c x) c) (*.f64 (*.f64 s s) x))
(*.f64 x c)
(*.f64 c x)
c
(*.f64 s (*.f64 s (*.f64 c x)))
(*.f64 (*.f64 (*.f64 s s) c) x)
s
(*.f64 s (*.f64 c x))
(*.f64 (*.f64 c s) x)
(*.f64 c x)

localize170.0ms (2.6%)

Memory
-1.9MiB live, 232.7MiB allocated; 27ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11262847661783103
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
accuracy0.7594907406448799
(*.f64 s (*.f64 s (*.f64 c x)))
accuracy4.075762353666996
(*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x))))
accuracy5.887822762143396
(*.f64 s (*.f64 c x))
accuracy3.5758045856176803
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
accuracy5.819004618999773
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s)
accuracy6.992036615353991
(*.f64 (*.f64 x x) c)
accuracy9.599937715699378
#s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s))
accuracy2.793549341238032
(*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))
accuracy10.713599262820988
(*.f64 (*.f64 x x) (*.f64 s c))
accuracy15.556637393522339
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))
accuracy19.904843740218716
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
accuracy0.15625
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))
accuracy0.2544279047612745
(/.f64 #s(literal -2 binary64) (*.f64 s c))
accuracy19.904843740218716
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
accuracy25.72134061039653
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c)))
accuracy0.1015625
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
accuracy0.14453125
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
accuracy2.38388826388817
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
accuracy5.076682745384268
(*.f64 x (*.f64 s c))
Samples
124.0ms256×0valid
Compiler

Compiled 303 to 50 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 52.0ms (50.9% of total)
ival-div: 33.0ms (32.3% of total)
ival-cos: 11.0ms (10.8% of total)
ival-pow2: 4.0ms (3.9% of total)
ival-add: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series109.0ms (1.6%)

Memory
0.9MiB live, 116.1MiB allocated; 33ms collecting garbage
Counts
27 → 38
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))
(/.f64 #s(literal -2 binary64) (*.f64 s c))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x))))
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 x x) (*.f64 s c))
(*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 x x) c)
(*.f64 s (*.f64 c x))
(*.f64 s (*.f64 s (*.f64 c x)))
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -2 x)
(pow x 2)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ 1 (* c (* s (pow x 2))))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* (pow c 2) (* (pow s 2) x))
(* c (* s (pow x 2)))
(* c (pow x 2))
(* c (* (pow s 2) x))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) x)
(cos (* -2 x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* c s))
Calls

9 calls:

TimeVariablePointExpression
43.0ms
c
@0
((/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s c)) (* s c)) (/ -2 (* s c)) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) (* s c)) (* s c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ 1 (* (* x x) c)) s) s) (/ (/ 1 (* (* x x) c)) s) (/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* s (* c x)))) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* x x) (* s c)) (* (* (* x x) (* s c)) (* s c)) (* (* x x) c) (* s (* c x)) (* s (* s (* c x))))
16.0ms
s
@0
((/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s c)) (* s c)) (/ -2 (* s c)) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) (* s c)) (* s c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ 1 (* (* x x) c)) s) s) (/ (/ 1 (* (* x x) c)) s) (/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* s (* c x)))) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* x x) (* s c)) (* (* (* x x) (* s c)) (* s c)) (* (* x x) c) (* s (* c x)) (* s (* s (* c x))))
15.0ms
c
@-inf
((/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s c)) (* s c)) (/ -2 (* s c)) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) (* s c)) (* s c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ 1 (* (* x x) c)) s) s) (/ (/ 1 (* (* x x) c)) s) (/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* s (* c x)))) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* x x) (* s c)) (* (* (* x x) (* s c)) (* s c)) (* (* x x) c) (* s (* c x)) (* s (* s (* c x))))
7.0ms
c
@inf
((/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s c)) (* s c)) (/ -2 (* s c)) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) (* s c)) (* s c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ 1 (* (* x x) c)) s) s) (/ (/ 1 (* (* x x) c)) s) (/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* s (* c x)))) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* x x) (* s c)) (* (* (* x x) (* s c)) (* s c)) (* (* x x) c) (* s (* c x)) (* s (* s (* c x))))
6.0ms
s
@inf
((/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s c)) (* s c)) (/ -2 (* s c)) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) (* s c)) (* s c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/ (/ (/ 1 (* (* x x) c)) s) s) (/ (/ 1 (* (* x x) c)) s) (/ (cos (* 2 x)) (* (* x c) (* s (* s (* c x))))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* s (* c x)))) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* x x) (* s c)) (* (* (* x x) (* s c)) (* s c)) (* (* x x) c) (* s (* c x)) (* s (* s (* c x))))

simplify167.0ms (2.5%)

Memory
21.0MiB live, 156.6MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097546
1273502
2964470
36210454
08649436
Stop Event
1×iter limit
1×node limit
Counts
38 → 38
Calls
Call 1
Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -2 x)
(pow x 2)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ 1 (* c (* s (pow x 2))))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* (pow c 2) (* (pow s 2) x))
(* c (* s (pow x 2)))
(* c (pow x 2))
(* c (* (pow s 2) x))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) x)
(cos (* -2 x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* c s))
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) c)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) c)) s) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) s) (*.f64 (*.f64 c s) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 c s) c))) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(pow x 2)
(*.f64 x x)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) c)) s)
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 s s)) c)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 s s) c)) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) c)) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) s) (*.f64 c s)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c s))) (*.f64 x x))
(/ 1 (* c (* s (pow x 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) c))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s) s)
(* c (* s x))
(*.f64 (*.f64 s x) c)
(* (pow c 2) (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 x x) s) c)
(* c (pow x 2))
(*.f64 (*.f64 x x) c)
(* c (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 s x) s) c)
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) s)) x)
(/ (cos (* -2 x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x)
(cos (* -2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) s)) x)
(/ -2 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) s) c)
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) x) x)
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) s) c)) x)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s))
(/ -2 (* c s))
(/.f64 #s(literal -2 binary64) (*.f64 c s))

rewrite163.0ms (2.5%)

Memory
-24.6MiB live, 162.6MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060335
089335
1268275
21347275
08193275
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 1 016
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))
(/.f64 #s(literal -2 binary64) (*.f64 s c))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x))))
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 x x) (*.f64 s c))
(*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 x x) c)
(*.f64 s (*.f64 c x))
(*.f64 s (*.f64 s (*.f64 c x)))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 s s))) (*.f64 (neg.f64 c) x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 c s) x))) (neg.f64 s))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) s)) (*.f64 (*.f64 (neg.f64 c) s) x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) c))) (*.f64 (neg.f64 c) x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) x))) (*.f64 (*.f64 (neg.f64 c) s) x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) x)) c)) (neg.f64 s))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) x)) s)) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 (*.f64 (*.f64 s s) x) c))) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 s s))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) x)) (*.f64 (*.f64 (neg.f64 s) s) x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 c s))) (*.f64 (*.f64 (neg.f64 c) s) x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) x)) (neg.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))))) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 4 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 s s)) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 c s) x)) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) s) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) c)) (*.f64 c x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) x)) c) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) x)) s) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 (*.f64 (*.f64 s s) x) c)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 c s)) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) x) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (*.f64 c x)) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 x)) (*.f64 (*.f64 c s) x)) (*.f64 (neg.f64 c) s))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 (neg.f64 c) c))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (*.f64 c c)) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) x)) (*.f64 (neg.f64 c) (neg.f64 s)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) x)) (*.f64 c s))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
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(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))))) (neg.f64 x))
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(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))) x)
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (neg.f64 x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (neg.f64 x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x)
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 0 binary64)) x) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) x))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64)) x) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) x))
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(*.f64 (+.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 (fabs.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))) (-.f64 (fabs.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))))
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(*.f64 (+.f64 (fabs.f64 (cos.f64 x)) (sin.f64 x)) (-.f64 (fabs.f64 (cos.f64 x)) (sin.f64 x)))
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(*.f64 (+.f64 (cos.f64 x) (fabs.f64 (sin.f64 x))) (-.f64 (cos.f64 x) (fabs.f64 (sin.f64 x))))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
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(fabs.f64 (*.f64 (*.f64 c s) x))
(*.f64 (*.f64 s x) (*.f64 c s))
(*.f64 (neg.f64 s) (*.f64 (*.f64 (neg.f64 c) s) x))
(*.f64 (*.f64 c x) (*.f64 s s))
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) (*.f64 c x))
(*.f64 (*.f64 (*.f64 c s) s) x)
(*.f64 (*.f64 (*.f64 c s) x) s)
(*.f64 (*.f64 c s) (*.f64 s x))
(*.f64 s (*.f64 (*.f64 c s) x))
(*.f64 x (*.f64 (*.f64 c s) s))
(neg.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) x))
(fma.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 c x) (*.f64 (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 c x)))
(fma.f64 (*.f64 c x) (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 (*.f64 c x) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 c x)) (*.f64 (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 c x)))
(+.f64 (*.f64 (*.f64 c x) (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (*.f64 (*.f64 c x) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))))

eval106.0ms (1.6%)

Memory
6.3MiB live, 192.7MiB allocated; 27ms collecting garbage
Compiler

Compiled 30 781 to 3 304 computations (89.3% saved)

prune71.0ms (1.1%)

Memory
-23.9MiB live, 82.0MiB allocated; 10ms collecting garbage
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New85217869
Fresh51318
Picked415
Done022
Total86133894
Accuracy
100.0%
Counts
894 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.1%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c))
✓77.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
86.8%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x))
▶61.5%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
▶68.2%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
76.8%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
80.6%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
▶79.1%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
93.6%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
79.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (*.f64 x x)))
93.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c x)) s))
79.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
▶98.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
92.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
93.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x))))
70.9%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x))) s) s)) c)
79.0%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) x)) s)) c)
78.0%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))) c)
63.2%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 s s)))) c)
59.5%
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
60.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
54.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))))
56.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) (*.f64 s c))))
✓50.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
60.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) (*.f64 s c))))
64.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
62.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
31.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) s) c)))
28.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) c) s)))
28.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
28.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) c) s) (*.f64 s c))))
✓28.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
▶28.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
Compiler

Compiled 1 717 to 1 158 computations (32.6% saved)

simplify151.0ms (2.3%)

Memory
-0.5MiB live, 147.2MiB allocated; 24ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
cost-diff0
(+.f64 x x)
cost-diff0
(cos.f64 (+.f64 x x))
cost-diff0
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x)
cost-diff0
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
cost-diff0
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
cost-diff0
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
cost-diff0
(/.f64 #s(literal -2 binary64) s)
cost-diff0
(/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))
cost-diff0
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s))))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
cost-diff0
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056345
085343
1209343
2658337
32464337
46517337
08780337
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
(*.f64 (*.f64 c s) x)
(*.f64 c s)
c
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s))))
(/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))
(/.f64 #s(literal -2 binary64) s)
#s(literal -2 binary64)
s
(*.f64 c (*.f64 c s))
c
(*.f64 c s)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
x
c
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x)
#s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 x (*.f64 s c))
(*.f64 s c)
s
c
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 x c)
c
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s x)) (*.f64 c c)) (*.f64 s x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
(*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s))
(*.f64 (*.f64 c s) x)
(*.f64 (*.f64 s c) x)
(*.f64 c s)
(*.f64 s c)
c
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) c) s)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) c) s))
(/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) c) s)
(/.f64 #s(literal -2 binary64) s)
#s(literal -2 binary64)
s
(*.f64 c (*.f64 c s))
(*.f64 (*.f64 c c) s)
c
(*.f64 c s)
(*.f64 s c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c x) c) x))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 (*.f64 s s) x) c))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
x
c
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 s c))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x)
#s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 s c) x)
(*.f64 s c)
s
c
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s x)) (*.f64 c c)) (*.f64 s x))
(cos.f64 (+.f64 x x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
(*.f64 x #s(literal 2 binary64))
x
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s))
(*.f64 x c)
(*.f64 c x)
c
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s

localize135.0ms (2%)

Memory
43.7MiB live, 175.4MiB allocated; 14ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11262847661783103
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
accuracy4.075762353666996
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
accuracy6.172825694346646
(*.f64 (*.f64 (*.f64 s s) x) c)
accuracy7.737814508051909
(*.f64 (*.f64 s s) x)
accuracy0.14453125
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
accuracy2.38388826388817
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
accuracy5.076682745384268
(*.f64 x (*.f64 s c))
accuracy32.241876189115104
#s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy3.5758045856176803
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
accuracy3.8519150520943213
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
accuracy7.737814508051909
(*.f64 (*.f64 s s) x)
accuracy29.9477628785739
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
accuracy0.09375
(*.f64 c (*.f64 c s))
accuracy4.187441237996087
(/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))
accuracy19.904843740218716
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
accuracy25.72134061039653
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s))))
accuracy0.00390625
(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy0.11262847661783103
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
accuracy0.18425751953688405
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
accuracy5.076682745384268
(*.f64 (*.f64 c s) x)
Samples
107.0ms256×0valid
Compiler

Compiled 281 to 51 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 38.0ms (44.5% of total)
ival-div: 21.0ms (24.6% of total)
ival-cos: 18.0ms (21.1% of total)
ival-pow2: 4.0ms (4.7% of total)
ival-add: 3.0ms (3.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series71.0ms (1.1%)

Memory
-20.8MiB live, 81.9MiB allocated; 14ms collecting garbage
Counts
26 → 38
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s))))
(/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))
(/.f64 #s(literal -2 binary64) s)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x)
#s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 (*.f64 c s) x)
(*.f64 c (*.f64 c s))
(*.f64 (*.f64 s s) x)
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 (*.f64 s s) x) c)
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(* c (* (pow s 2) (pow x 2)))
(/ 1 x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)
(* c (* s x))
(* (pow s 2) x)
(* (pow c 2) (* (pow s 2) x))
(* c (* (pow s 2) x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(cos (* -2 x))
(/ (cos (* -2 x)) x)
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (neg (* -2 x)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) s)
(/ -2 s)
Calls

9 calls:

TimeVariablePointExpression
29.0ms
x
@-inf
((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) (* (* (* c s) x) (* (* c s) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 s) (* c (* c s))) (/ -2 s) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (* (* (* (* s s) x) x) c) (/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (+ (* (* x x) -2) 1) (/ (cos (+ x x)) (* (* x c) (* (* (* s s) x) c))) (cos (+ x x)) (+ x x) (* (* x c) (* (* (* s s) x) c)) (* (* c s) x) (* c (* c s)) (* (* s s) x) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* (* s s) x) c))
9.0ms
s
@inf
((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) (* (* (* c s) x) (* (* c s) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 s) (* c (* c s))) (/ -2 s) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (* (* (* (* s s) x) x) c) (/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (+ (* (* x x) -2) 1) (/ (cos (+ x x)) (* (* x c) (* (* (* s s) x) c))) (cos (+ x x)) (+ x x) (* (* x c) (* (* (* s s) x) c)) (* (* c s) x) (* c (* c s)) (* (* s s) x) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* (* s s) x) c))
5.0ms
c
@-inf
((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) (* (* (* c s) x) (* (* c s) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 s) (* c (* c s))) (/ -2 s) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (* (* (* (* s s) x) x) c) (/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (+ (* (* x x) -2) 1) (/ (cos (+ x x)) (* (* x c) (* (* (* s s) x) c))) (cos (+ x x)) (+ x x) (* (* x c) (* (* (* s s) x) c)) (* (* c s) x) (* c (* c s)) (* (* s s) x) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* (* s s) x) c))
5.0ms
s
@-inf
((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) (* (* (* c s) x) (* (* c s) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 s) (* c (* c s))) (/ -2 s) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (* (* (* (* s s) x) x) c) (/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (+ (* (* x x) -2) 1) (/ (cos (+ x x)) (* (* x c) (* (* (* s s) x) c))) (cos (+ x x)) (+ x x) (* (* x c) (* (* (* s s) x) c)) (* (* c s) x) (* c (* c s)) (* (* s s) x) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* (* s s) x) c))
5.0ms
c
@inf
((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) (* (* (* c s) x) (* (* c s) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 s) (* c (* c s))) (/ -2 s) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (* (* (* (* s s) x) x) c) (/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (+ (* (* x x) -2) 1) (/ (cos (+ x x)) (* (* x c) (* (* (* s s) x) c))) (cos (+ x x)) (+ x x) (* (* x c) (* (* (* s s) x) c)) (* (* c s) x) (* c (* c s)) (* (* s s) x) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* (* s s) x) c))

simplify187.0ms (2.8%)

Memory
-9.2MiB live, 179.6MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096556
1270512
2941480
36174464
08585446
Stop Event
1×iter limit
1×node limit
Counts
38 → 38
Calls
Call 1
Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(* c (* (pow s 2) (pow x 2)))
(/ 1 x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)
(* c (* s x))
(* (pow s 2) x)
(* (pow c 2) (* (pow s 2) x))
(* c (* (pow s 2) x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(cos (* -2 x))
(/ (cos (* -2 x)) x)
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (neg (* -2 x)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) s)
(/ -2 s)
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) x) c)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) (*.f64 s c)))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 s c) (*.f64 s c))) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) x) c)) s) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) s) (*.f64 (*.f64 c c) s)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 c c) s))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) s) s)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) x)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 s s)) c)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 s s) c)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c x) x)) s) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) s) (*.f64 s c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 s c))) (*.f64 x x))
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) s)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)
(* c (* s x))
(*.f64 (*.f64 s x) c)
(* (pow s 2) x)
(*.f64 (*.f64 s x) s)
(* (pow c 2) (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)
(* c (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 s x) s) c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ -2 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) (*.f64 s c)))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s)
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) s) c)) x)
(cos (* -2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ (cos (* -2 x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) x) x)
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s)
(cos (neg (* -2 x)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) (*.f64 s c)))
(* (pow c 2) s)
(*.f64 (*.f64 c c) s)
(/ -2 s)
(/.f64 #s(literal -2 binary64) s)

rewrite68.0ms (1%)

Memory
13.4MiB live, 58.9MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056293
085275
1286243
01400243
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
26 → 367
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s))))
(/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))
(/.f64 #s(literal -2 binary64) s)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x)
#s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 (*.f64 c s) x)
(*.f64 c (*.f64 c s))
(*.f64 (*.f64 s s) x)
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 (*.f64 s s) x) c)
Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 s x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 s c)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) c) (*.f64 s x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) x) (*.f64 s c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) (neg.f64 c))) (*.f64 (*.f64 s x) (neg.f64 c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (fabs.f64 (*.f64 (*.f64 s c) x))) (fabs.f64 (*.f64 (*.f64 s c) x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s s) x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 s s)) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) c) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) c)) (*.f64 c x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) (*.f64 (*.f64 (*.f64 s c) x) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x))) (*.f64 (*.f64 s x) (neg.f64 c)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x))) (neg.f64 (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (neg.f64 x) (neg.f64 x))
(+.f64 x x)
(*.f64 (*.f64 (*.f64 c x) c) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (*.f64 (*.f64 s c) x) c) (*.f64 s x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 s c))
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 (*.f64 s c) (fabs.f64 x)) (*.f64 (*.f64 s c) (fabs.f64 x)))
(*.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 s x) (neg.f64 c))) (neg.f64 (*.f64 (*.f64 s x) (neg.f64 c))))
(*.f64 (neg.f64 (fabs.f64 (*.f64 (*.f64 s c) x))) (neg.f64 (fabs.f64 (*.f64 (*.f64 s c) x))))
(*.f64 (fabs.f64 (fabs.f64 (*.f64 (*.f64 s c) x))) (fabs.f64 (fabs.f64 (*.f64 (*.f64 s c) x))))
(*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 s c) x)))
(*.f64 (*.f64 (*.f64 (*.f64 s c) x) x) (*.f64 s c))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s) s)
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (*.f64 (*.f64 s c) x)) (fabs.f64 (*.f64 (*.f64 s c) x)))
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))
(*.f64 (*.f64 c x) (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c (*.f64 c x)))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c)))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c))
(*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) (*.f64 c c)))
(*.f64 (*.f64 (*.f64 s c) s) (*.f64 (*.f64 x x) c))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(*.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))
(*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))
(*.f64 (*.f64 s c) (*.f64 s (*.f64 (*.f64 x x) c)))
(*.f64 (*.f64 s c) (*.f64 (*.f64 (*.f64 s c) x) x))
(*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s))
(*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 s c) x)))
(*.f64 c (*.f64 s (*.f64 (*.f64 (*.f64 s c) x) x)))
(*.f64 c (*.f64 (*.f64 x x) (*.f64 (*.f64 s c) s)))
(*.f64 c (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 s c) s)))
(*.f64 x (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(pow.f64 (*.f64 (*.f64 s x) (neg.f64 c)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (*.f64 (*.f64 s c) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s c) x)) #s(literal 2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) s) c)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) c) s)
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c c)) s)
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s c)) c)
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c)) (neg.f64 (*.f64 s c)))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))
(/.f64 (/.f64 #s(literal 2 binary64) s) (*.f64 (neg.f64 c) (*.f64 s c)))
(/.f64 (/.f64 #s(literal -2 binary64) s) (neg.f64 (*.f64 (neg.f64 c) (*.f64 s c))))
(/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))
(/.f64 #s(literal -2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s)))
(/.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) s) (*.f64 (*.f64 c c) s)))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (neg.f64 c) (*.f64 s c))))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 s)))
(/.f64 #s(literal -2 binary64) s)
(/.f64 #s(literal 2 binary64) (neg.f64 s))
(neg.f64 (/.f64 #s(literal 2 binary64) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (neg.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64))) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) (neg.f64 c))
(/.f64 (neg.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (neg.f64 (neg.f64 c)))
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) c)
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (/.f64 (neg.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64))) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (neg.f64 c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) x)) (*.f64 c x))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (neg.f64 c))
(/.f64 (neg.f64 (neg.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) c)
(/.f64 (neg.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(neg.f64 (/.f64 (neg.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64))) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x)
(*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c x))
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))
(*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 s s))
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 s x))
(*.f64 s (*.f64 (*.f64 s x) (*.f64 c x)))
(*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 x (*.f64 (*.f64 (*.f64 s s) x) c))
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) x) x)) s) c)
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) x) x)) c) s)
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 (*.f64 s s) x) c)) c)
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(*.f64 x (*.f64 s c))
(*.f64 (*.f64 c c) s)
(*.f64 (*.f64 s c) c)
(*.f64 s (*.f64 c c))
(*.f64 c (*.f64 s c))
(*.f64 (*.f64 x (neg.f64 s)) (neg.f64 s))
(*.f64 (*.f64 x (fabs.f64 s)) (fabs.f64 s))
(*.f64 (*.f64 s x) s)
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) x))
(*.f64 (fabs.f64 s) (*.f64 (fabs.f64 s) x))
(*.f64 (*.f64 s s) x)
(*.f64 s (*.f64 s x))
(*.f64 x (*.f64 s s))
(*.f64 (*.f64 s x) c)
(*.f64 (*.f64 c x) s)
(*.f64 (*.f64 s c) x)
(*.f64 s (*.f64 c x))
(*.f64 c (*.f64 s x))
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 (*.f64 (*.f64 s c) x) c) s)
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s))
(*.f64 (*.f64 s x) (*.f64 (*.f64 c c) s))
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c)
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c c))
(*.f64 (*.f64 (*.f64 c c) s) (*.f64 s x))
(*.f64 (*.f64 (*.f64 s c) s) (*.f64 c x))
(*.f64 (*.f64 c c) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))
(*.f64 (*.f64 s c) (*.f64 (*.f64 s c) x))
(*.f64 s (*.f64 c (*.f64 (*.f64 s c) x)))
(*.f64 c (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 x (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(*.f64 (*.f64 s x) (*.f64 s c))
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) (*.f64 c x)))
(*.f64 (fabs.f64 s) (*.f64 (fabs.f64 s) (*.f64 c x)))
(*.f64 (*.f64 c x) (*.f64 s s))
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) (*.f64 c x))
(*.f64 (*.f64 (*.f64 s c) s) x)
(*.f64 (*.f64 (*.f64 s c) x) s)
(*.f64 (*.f64 s c) (*.f64 s x))
(*.f64 s (*.f64 (*.f64 s c) x))
(*.f64 c (*.f64 (*.f64 s s) x))
(*.f64 x (*.f64 (*.f64 s c) s))

eval32.0ms (0.5%)

Memory
32.0MiB live, 73.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 7 044 to 1 022 computations (85.5% saved)

prune41.0ms (0.6%)

Memory
-20.7MiB live, 78.7MiB allocated; 14ms collecting garbage
Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New28419303
Fresh151025
Picked415
Done033
Total30333336
Accuracy
100.0%
Counts
336 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.4%
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) x)) (*.f64 c x)) c)
79.1%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c))
✓77.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
99.0%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
60.2%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) c) s))
55.5%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) #s(approx (* (* x (* s c)) (* s c)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)))
22.6%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
77.2%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) s) x) c)) c)
80.5%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s x))) c)
76.9%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 c x)))) c)
76.8%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
80.6%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
98.9%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
91.8%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s x) (*.f64 s c))))
93.6%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
96.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c s) x)))
92.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
84.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (* (* c s) x) (* (* c s) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) s) s)))
70.9%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x))) s) s)) c)
79.0%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) x)) s)) c)
64.4%
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
81.8%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
54.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))))
56.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) (*.f64 s c))))
✓50.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
60.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) (*.f64 s c))))
31.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) s) c)))
31.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s c)) c)))
36.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
✓28.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
28.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
✓28.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
29.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s)))))
Compiler

Compiled 2 977 to 955 computations (67.9% saved)

regimes185.0ms (2.8%)

Memory
14.9MiB live, 258.5MiB allocated; 32ms collecting garbage
Counts
78 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) c) s) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) s) c)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 s s)))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 c x)))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s x))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) s) x) c)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) s) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 s c) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) (*.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) c)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) x)) s)) c)
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) x)) (*.f64 c x)) c)
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) #s(approx (* (* x (* s c)) (* s c)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) c) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x))) s) s)) c)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s x) (*.f64 s c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (* (* c s) x) (* (* c s) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) s) s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) (*.f64 s x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) c))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) x))
(fma.f64 (/.f64 (cos.f64 x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
Calls

6 calls:

47.0ms
x
40.0ms
(pow.f64 c #s(literal 2 binary64))
33.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
22.0ms
c
21.0ms
s
Results
AccuracySegmentsBranch
99.0%1(pow.f64 s #s(literal 2 binary64))
99.0%1(pow.f64 c #s(literal 2 binary64))
99.0%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
99.0%1x
99.0%1c
99.0%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes126.0ms (1.9%)

Memory
-22.8MiB live, 120.1MiB allocated; 11ms collecting garbage
Counts
63 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) c) s) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) s) c)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 s s)))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 c x)))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s x))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) s) x) c)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) s) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 s c) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) (*.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) c)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) x)) s)) c)
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) x)) (*.f64 c x)) c)
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) #s(approx (* (* x (* s c)) (* s c)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) c) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x))) s) s)) c)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s x) (*.f64 s c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (* (* c s) x) (* (* c s) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) s) s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) (*.f64 s x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x))
Outputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

6 calls:

44.0ms
(pow.f64 c #s(literal 2 binary64))
19.0ms
c
15.0ms
x
15.0ms
s
14.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.9%1(pow.f64 s #s(literal 2 binary64))
98.9%1(pow.f64 c #s(literal 2 binary64))
98.9%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
98.9%1x
98.9%1c
98.9%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes76.0ms (1.1%)

Memory
21.1MiB live, 109.9MiB allocated; 8ms collecting garbage
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) c) s) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) s) c)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 s s)))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 c x)))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s x))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) s) x) c)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) s) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 s c) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) (*.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) c)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) x)) s)) c)
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) x)) (*.f64 c x)) c)
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) #s(approx (* (* x (* s c)) (* s c)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) c) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x))) s) s)) c)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s x) (*.f64 s c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
Outputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x)))))
Calls

6 calls:

19.0ms
s
12.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
11.0ms
x
11.0ms
c
10.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
93.6%1(pow.f64 s #s(literal 2 binary64))
93.6%1(pow.f64 c #s(literal 2 binary64))
93.6%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
93.6%1c
97.0%2s
97.2%2x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes68.0ms (1%)

Memory
-27.6MiB live, 117.8MiB allocated; 10ms collecting garbage
Counts
43 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) c) s) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c s)) s) c)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 s s)))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 c x)))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s x))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) s) x) c)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) s) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 s c) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) (*.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) c)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c s) x) x)) s)) c)
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) x)) (*.f64 c x)) c)
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) #s(approx (* (* x (* s c)) (* s c)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) c) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x))) s) s)) c)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))) c)
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

6 calls:

14.0ms
x
12.0ms
c
12.0ms
(pow.f64 s #s(literal 2 binary64))
11.0ms
s
9.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
83.4%2(pow.f64 s #s(literal 2 binary64))
81.8%1(pow.f64 c #s(literal 2 binary64))
81.8%1c
87.0%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
83.4%2s
83.9%2x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes12.0ms (0.2%)

Memory
28.1MiB live, 28.1MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
Calls

6 calls:

2.0ms
x
2.0ms
s
2.0ms
c
2.0ms
(pow.f64 s #s(literal 2 binary64))
2.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
36.1%1c
36.1%1(pow.f64 c #s(literal 2 binary64))
36.1%1(pow.f64 s #s(literal 2 binary64))
36.1%1s
36.1%1x
36.1%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes14.0ms (0.2%)

Memory
-19.8MiB live, 25.7MiB allocated; 5ms collecting garbage
Accuracy

Total -0.4b remaining (-0.8%)

Threshold costs -0.4b (-0.8%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s)))))
Calls

6 calls:

5.0ms
x
2.0ms
c
2.0ms
s
2.0ms
(pow.f64 s #s(literal 2 binary64))
1.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
29.1%1s
29.1%1(pow.f64 s #s(literal 2 binary64))
29.1%1(pow.f64 c #s(literal 2 binary64))
29.1%1x
29.1%1c
29.1%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch3.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
2.0ms
5.442055476035827e-46
5.729752232785633e-46
Samples
1.0ms16×0valid
Compiler

Compiled 53 to 43 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-cos: 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)
ival-pow2: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-9.188976531513587e-233
0.0
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify46.0ms (0.7%)

Memory
6.8MiB live, 58.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069247
1120247
2333241
32718235
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(if (<=.f64 x #s(literal 1799770609570069/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x))))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5593535921577141/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s))))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s)))))
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(if (<=.f64 x #s(literal 1799770609570069/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 s (*.f64 c x))))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5593535921577141/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s))))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5593535921577141/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (neg.f64 #s(literal 2 binary64)) (*.f64 s (*.f64 (*.f64 c c) s))))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 s) (*.f64 (*.f64 c c) s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (neg.f64 #s(literal 2 binary64)) (*.f64 s (*.f64 (*.f64 c c) s)))))

derivations750.0ms (11.3%)

Memory
11.4MiB live, 678.5MiB allocated; 67ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096556
1270512
2941480
36174464
08585446
056293
085275
1286243
01400243
043229
072227
1217189
01092189
01246
02046
15946
226142
0256342
090545
1256501
2938469
36430453
08881435
050222
1144206
2519188
33912184
08363174
060335
089335
1268275
21347275
08193275
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 247 to 72 computations (70.9% saved)

preprocess71.0ms (1.1%)

Memory
-39.9MiB live, 57.8MiB allocated; 12ms collecting garbage
Remove

(sort c s)

(abs x)

(abs c)

(abs s)

Compiler

Compiled 782 to 328 computations (58.1% saved)

end0.0ms (0%)

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

Profiling

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