Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, A

Time bar (total: 11.3s)

analyze198.0ms (1.8%)

Memory
-36.9MiB live, 285.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.7s (15.5%)

Memory
54.3MiB live, 2 114.2MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-sin: 659.0ms (56.1% of total)
ival-mult: 345.0ms (29.4% of total)
ival-div: 153.0ms (13% of total)
exact: 10.0ms (0.9% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess54.0ms (0.5%)

Memory
-4.1MiB live, 73.1MiB allocated
Algorithm
2×egg-herbie
Rules
594×times-frac
488×associate-*r*
336×associate-*l*
276×distribute-lft-neg-in
276×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02045
14643
211242
332742
499242
5175142
6185642
7188642
8191442
9192642
10199842
11246942
01214
11914
22914
33814
44114
04114
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
Outputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
Call 2
Inputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))
(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))))
Outputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(* (sin (* x 1/2)) (* 8/3 (/ (sin (* x 1/2)) (sin x))))
(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))
(* (sin (* x 1/2)) (* 8/3 (/ (sin (* x -1/2)) (sin x))))
(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))))
(* (sin (* x 1/2)) (* 8/3 (/ (sin (* x 1/2)) (sin x))))
Symmetry

(negabs x)

explain140.0ms (1.2%)

Memory
-18.5MiB live, 346.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
430-3(3.37489055371437e-157)(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
00-0-(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
0147(4.364630175802459e+238)0-(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
00-0-#s(literal 8 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 1/2 binary64))
00-0-(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
00-0-(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
00-0-(sin.f64 x)
00-0-#s(literal 1/2 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f64(sin.f64 (*.f64 x #s(literal 1/2 binary64)))sensitivity1470
/.f64(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))u/n400
↳(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))underflow40
Confusion
Predicted +Predicted -
+403
-14766
Precision
0.21390374331550802
Recall
0.9302325581395349
Confusion?
Predicted +Predicted MaybePredicted -
+4003
-147066
Precision?
0.21390374331550802
Recall?
0.9302325581395349
Freqs
test
numberfreq
069
1187
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms512×0valid
Compiler

Compiled 144 to 48 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-sin: 26.0ms (60.9% of total)
ival-div: 8.0ms (18.7% of total)
ival-mult: 8.0ms (18.7% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶84.3%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify5.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff0
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
✓cost-diff704
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
Rules
46×*-lowering-*.f32
46×*-lowering-*.f64
20×*-commutative
10×associate-/l*
10×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
11945
22945
33845
44145
04145
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
(* (/ 8 3) (sin (* x 1/2)))
(/ 8 3)
8
3
(sin (* x 1/2))
(* x 1/2)
x
1/2
(sin x)
Outputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* (/ 8 3) (sin (* x 1/2)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ 8 3)
#s(literal 8/3 binary64)
8
#s(literal 8 binary64)
3
#s(literal 3 binary64)
(sin (* x 1/2))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(sin x)
(sin.f64 x)

localize46.0ms (0.4%)

Memory
-16.5MiB live, 63.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.6%
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy84.6%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Samples
31.0ms256×0valid
Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 12.0ms (52.3% of total)
ival-div: 6.0ms (26.1% of total)
ival-mult: 4.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
5 → 48
Calls
Call 1
Inputs
#<alt (/ 8 3)>
#<alt (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))>
#<alt (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))>
#<alt (* (/ 8 3) (sin (* x 1/2)))>
#<alt (sin x)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
1.0ms
x
@-inf
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
1.0ms
x
@inf
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
1.0ms
x
@0
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
0.0ms
x
@-inf
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))

rewrite187.0ms (1.7%)

Memory
15.3MiB live, 207.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 420×*-lowering-*.f32
2 420×*-lowering-*.f64
2 008×/-lowering-/.f32
2 008×/-lowering-/.f64
534×accelerator-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01234
12728
210828
361924
0490724
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
5 → 286
Calls
Call 1
Inputs
(/ 8 3)
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
(* (/ 8 3) (sin (* x 1/2)))
(sin x)
Outputs
#s(literal 8/3 binary64)
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 0 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))))
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(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -8/3 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -8/3 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal -8/3 binary64))
(*.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64))
(*.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal -1 binary64))
(+.f64 (sin.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sin.f64 x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(sin.f64 x)
(fma.f64 (sin.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))

simplify685.0ms (6.1%)

Memory
23.4MiB live, 496.2MiB allocated
Algorithm
1×egg-herbie
Rules
18 506×accelerator-lowering-fma.f32
18 506×accelerator-lowering-fma.f64
4 370×+-lowering-+.f64
4 370×+-lowering-+.f32
3 662×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090414
1252414
2600408
31799408
43352408
54719408
65032408
75327408
85949408
97813408
08080384
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 4/3 x)
(*.f64 x #s(literal 4/3 binary64))
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/241920 binary64)) #s(literal 1/1440 binary64))) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

eval54.0ms (0.5%)

Memory
-22.7MiB live, 54.9MiB allocated
Compiler

Compiled 5 257 to 751 computations (85.7% saved)

prune151.0ms (1.3%)

Memory
26.2MiB live, 103.4MiB allocated
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New30331334
Fresh000
Picked101
Done000
Total30431335
Accuracy
100.0%
Counts
335 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.2%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
59.2%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
99.3%
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
▶59.1%
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
59.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
59.2%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
59.0%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
84.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
59.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
84.3%
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
29.3%
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
59.2%
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
59.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
58.9%
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
59.1%
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
59.1%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
56.6%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
▶99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
▶99.4%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
99.3%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
84.2%
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
59.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.2%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
▶59.2%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
99.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
59.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
99.3%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
43.3%
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
84.4%
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
▶43.7%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 818 to 596 computations (27.1% saved)

simplify477.0ms (4.2%)

Memory
-11.1MiB live, 106.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓cost-diff0
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
✓cost-diff8064
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff320
(/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
✓cost-diff6976
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
✓cost-diff0
(*.f64 #s(literal 2/3 binary64) x)
✓cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓cost-diff0
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
✓cost-diff384
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
Rules
2 540×accelerator-lowering-fma.f32
2 540×accelerator-lowering-fma.f64
1 964×*-lowering-*.f32
1 964×*-lowering-*.f64
1 278×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024149
149143
298137
3209137
4427137
5957137
61916137
72928137
83898137
94562137
105234137
115644137
125781137
135823137
145870137
156278137
166465137
176467137
186467137
196467137
206668137
217319137
227501137
237501137
247501137
257501137
267501137
07501137
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ (sin (* 1/2 x)) (sin x)) (/ (sin (* 1/2 x)) 3/8))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* 1/2 x)
1/2
x
(sin x)
(/ (sin (* 1/2 x)) 3/8)
3/8
(* 2/3 x)
2/3
x
(* (- 1 (cos x)) (/ 1/2 (* (sin x) 3/8)))
(- 1 (cos x))
1
(cos x)
x
(/ 1/2 (* (sin x) 3/8))
1/2
(* (sin x) 3/8)
(sin x)
3/8
(/ (/ 8/3 (sin x)) (/ 2 (- 1 (cos x))))
(/ 8/3 (sin x))
8/3
(sin x)
x
(/ 2 (- 1 (cos x)))
2
(- 1 (cos x))
1
(cos x)
(* (/ (sin (* 1/2 x)) (* (sin x) 3/8)) (sin (* 1/2 x)))
(/ (sin (* 1/2 x)) (* (sin x) 3/8))
(sin (* 1/2 x))
(* 1/2 x)
1/2
x
(* (sin x) 3/8)
(sin x)
3/8
Outputs
(* (/ (sin (* 1/2 x)) (sin x)) (/ (sin (* 1/2 x)) 3/8))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(sin x)
(sin.f64 x)
(/ (sin (* 1/2 x)) 3/8)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
3/8
#s(literal 3/8 binary64)
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
x
(* (- 1 (cos x)) (/ 1/2 (* (sin x) 3/8)))
(*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(/ 1/2 (* (sin x) 3/8))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
1/2
#s(literal 1/2 binary64)
(* (sin x) 3/8)
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(sin x)
(sin.f64 x)
3/8
#s(literal 3/8 binary64)
(/ (/ 8/3 (sin x)) (/ 2 (- 1 (cos x))))
(*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
8/3
#s(literal 8/3 binary64)
(sin x)
(sin.f64 x)
x
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
2
#s(literal 2 binary64)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
(* (/ (sin (* 1/2 x)) (* (sin x) 3/8)) (sin (* 1/2 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/ (sin (* 1/2 x)) (* (sin x) 3/8))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(* (sin x) 3/8)
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(sin x)
(sin.f64 x)
3/8
#s(literal 3/8 binary64)

localize532.0ms (4.7%)

Memory
0.3MiB live, 197.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.7%
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
✓accuracy99.5%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
✓accuracy99.4%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
✓accuracy99.7%
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓accuracy99.4%
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
✓accuracy84.0%
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓accuracy74.9%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy99.7%
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
✓accuracy84.6%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
✓accuracy74.9%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy99.6%
(*.f64 #s(literal 2/3 binary64) x)
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.8%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
✓accuracy99.7%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓accuracy99.7%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
Samples
96.0ms149×0valid
78.0ms54×2valid
12.0ms40×1valid
11.0ms13×3valid
Compiler

Compiled 151 to 26 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-mult: 61.0ms (35.2% of total)
adjust: 53.0ms (30.6% of total)
ival-cos: 17.0ms (9.8% of total)
ival-div: 16.0ms (9.2% of total)
ival-sin: 16.0ms (9.2% of total)
const: 7.0ms (4% of total)
ival-sub: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-11.3MiB live, 26.1MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt (/ (sin (* 1/2 x)) 3/8)>
#<alt (* (/ (sin (* 1/2 x)) (sin x)) (/ (sin (* 1/2 x)) 3/8))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (sin (* 1/2 x))>
#<alt (* 2/3 x)>
#<alt (* (- 1 (cos x)) (/ 1/2 (* (sin x) 3/8)))>
#<alt (/ 1/2 (* (sin x) 3/8))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (/ (/ 8/3 (sin x)) (/ 2 (- 1 (cos x))))>
#<alt (/ 8/3 (sin x))>
#<alt (sin x)>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (* (/ (sin (* 1/2 x)) (* (sin x) 3/8)) (sin (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (* (sin x) 3/8))>
#<alt (* 1/2 x)>
#<alt (* (sin x) 3/8)>
Outputs
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/16 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (/ 4/3 x)>
#<alt (/ (+ 4/3 (* 2/9 (pow x 2))) x)>
#<alt (/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)>
#<alt (/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (/ 8/3 x)>
#<alt (/ (+ 8/3 (* 4/9 (pow x 2))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (/ 4 (pow x 2))>
#<alt (/ (+ 4 (* 1/3 (pow x 2))) (pow x 2))>
#<alt (/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (pow x 2))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt 4/3>
#<alt (+ 4/3 (* 1/6 (pow x 2)))>
#<alt (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))>
#<alt (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 3/8 x)>
#<alt (* x (+ 3/8 (* -1/16 (pow x 2))))>
#<alt (* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))>
#<alt (* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
Calls

51 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(* (sin x) 3/8)
2.0ms
x
@inf
(* (- 1 (cos x)) (/ 1/2 (* (sin x) 3/8)))
1.0ms
x
@-inf
(* (- 1 (cos x)) (/ 1/2 (* (sin x) 3/8)))
0.0ms
x
@-inf
(/ 2 (- 1 (cos x)))
0.0ms
x
@inf
(/ 2 (- 1 (cos x)))

rewrite482.0ms (4.3%)

Memory
-11.3MiB live, 540.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 068×*-lowering-*.f32
4 068×*-lowering-*.f64
3 370×/-lowering-/.f32
3 370×/-lowering-/.f64
1 836×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024110
110998
274292
3584792
0870892
Stop Event
1×iter limit
1×node limit
Counts
17 → 1 280
Calls
Call 1
Inputs
(/ (sin (* 1/2 x)) 3/8)
(* (/ (sin (* 1/2 x)) (sin x)) (/ (sin (* 1/2 x)) 3/8))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* 2/3 x)
(* (- 1 (cos x)) (/ 1/2 (* (sin x) 3/8)))
(/ 1/2 (* (sin x) 3/8))
(- 1 (cos x))
(cos x)
(/ (/ 8/3 (sin x)) (/ 2 (- 1 (cos x))))
(/ 8/3 (sin x))
(sin x)
(/ 2 (- 1 (cos x)))
(* (/ (sin (* 1/2 x)) (* (sin x) 3/8)) (sin (* 1/2 x)))
(/ (sin (* 1/2 x)) (* (sin x) 3/8))
(* 1/2 x)
(* (sin x) 3/8)
Outputs
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/8 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64))
(*.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) #s(literal -1 binary64) (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))))
(neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))))
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -3/8 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 3/8 binary64))
(/.f64 (*.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal -3/8 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(pow.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
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(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(fma.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal -8/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal -8/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -8/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal -8/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal -8/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -2 binary64)) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -8/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -2 binary64)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 8/3 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 8/3 binary64) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 8/3 binary64) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
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(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal -8/3 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
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(fma.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (cos.f64 x)))
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(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (sin.f64 x)) #s(literal -8/3 binary64))
(/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(pow.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(*.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -3/8 binary64) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -3/8 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))

simplify524.0ms (4.6%)

Memory
22.8MiB live, 772.3MiB allocated
Algorithm
1×egg-herbie
Rules
14 562×accelerator-lowering-fma.f32
14 562×accelerator-lowering-fma.f64
5 396×+-lowering-+.f64
5 396×+-lowering-+.f32
4 342×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421470
16451470
215831464
328821464
448021464
550701464
654631464
763471464
080131374
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 4/3 x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(/ 4 (pow x 2))
(/ (+ 4 (* 1/3 (pow x 2))) (pow x 2))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (pow x 2))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 3/8 x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
Outputs
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/1440 binary64)) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/241920 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/768 binary64) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 61/92160 binary64) #s(literal 5/768 binary64)) #s(literal 1/16 binary64))) #s(literal 1/2 binary64))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ 4/3 x)
(/.f64 #s(literal 4/3 binary64) x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2/9 binary64) #s(literal 4/3 binary64)) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/270 binary64) #s(literal 2/9 binary64)) #s(literal 4/3 binary64)) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 31/11340 binary64) #s(literal 7/270 binary64))) #s(literal 2/9 binary64)) #s(literal 4/3 binary64)) x)
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/135 binary64) #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 31/5670 binary64) #s(literal 7/135 binary64))) #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 1/3 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 4 binary64)) (*.f64 x x))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 4 binary64)) (*.f64 x x))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/1512 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 4 binary64)) (*.f64 x x))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/288 binary64)) #s(literal 1/6 binary64)) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 61/34560 binary64) #s(literal 5/288 binary64)) #s(literal 1/6 binary64)) #s(literal 4/3 binary64))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 3/8 x)
(*.f64 x #s(literal 3/8 binary64))
(* x (+ 3/8 (* -1/16 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 3/8 binary64)))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/320 binary64)) #s(literal -1/16 binary64)) #s(literal 3/8 binary64)))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/13440 binary64) #s(literal 1/320 binary64)) #s(literal -1/16 binary64)) #s(literal 3/8 binary64)))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))

eval308.0ms (2.7%)

Memory
13.8MiB live, 637.1MiB allocated
Compiler

Compiled 30 600 to 2 630 computations (91.4% saved)

prune156.0ms (1.4%)

Memory
-20.2MiB live, 374.2MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1 83491 843
Fresh23326
Picked415
Done000
Total1 861131 874
Accuracy
100.0%
Counts
1 874 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
59.2%
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
59.0%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
▶59.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
▶99.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64)))
▶99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
58.2%
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
59.1%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
99.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64))))
▶43.3%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
99.5%
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓43.7%
(*.f64 #s(literal 2/3 binary64) x)
▶49.6%
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
Compiler

Compiled 252 to 197 computations (21.8% saved)

simplify345.0ms (3.1%)

Memory
7.8MiB live, 183.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64))
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
✓cost-diff7168
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64)))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓cost-diff6848
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓cost-diff0
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
✓cost-diff704
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
✓cost-diff0
(*.f64 x #s(literal 1/18 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff256
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff512
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Rules
2 382×accelerator-lowering-fma.f32
2 382×accelerator-lowering-fma.f64
1 718×div-sub
1 714×*-lowering-*.f32
1 714×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029108
157108
286106
3132106
4205106
5339106
6634106
71209106
82477106
93770106
104948106
115562106
126003106
136234106
146243106
156696106
166921106
176978106
187098106
197250106
207250106
217257106
227257106
237305106
247358106
257394106
267394106
07394102
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
x
2
3/4
(* x (+ (* x (* x 1/18)) 2/3))
x
(+ (* x (* x 1/18)) 2/3)
(* x 1/18)
1/18
2/3
(* 1/2 (/ (sin (* 1/2 x)) 3/8))
1/2
(/ (sin (* 1/2 x)) 3/8)
(sin (* 1/2 x))
(* 1/2 x)
x
3/8
(/ (* (- 1 (cos x)) 4/3) (sin x))
(* (- 1 (cos x)) 4/3)
(- 1 (cos x))
1
(cos x)
x
4/3
(sin x)
(/ (* 1/2 (sin x)) (+ (* 3/8 (cos x)) 3/8))
(* 1/2 (sin x))
1/2
(sin x)
x
(+ (* 3/8 (cos x)) 3/8)
3/8
(cos x)
Outputs
(/ (tan (/ x 2)) 3/4)
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(tan (/ x 2))
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
3/4
#s(literal 3/4 binary64)
(* x (+ (* x (* x 1/18)) 2/3))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
x
(+ (* x (* x 1/18)) 2/3)
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* x 1/18)
(*.f64 x #s(literal 1/18 binary64))
1/18
#s(literal 1/18 binary64)
2/3
#s(literal 2/3 binary64)
(* 1/2 (/ (sin (* 1/2 x)) 3/8))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
1/2
#s(literal 1/2 binary64)
(/ (sin (* 1/2 x)) 3/8)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
x
3/8
#s(literal 3/8 binary64)
(/ (* (- 1 (cos x)) 4/3) (sin x))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(* (- 1 (cos x)) 4/3)
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
4/3
#s(literal 4/3 binary64)
(sin x)
(sin.f64 x)
(/ (* 1/2 (sin x)) (+ (* 3/8 (cos x)) 3/8))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(* 1/2 (sin x))
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
1/2
#s(literal 1/2 binary64)
(sin x)
(sin.f64 x)
x
(+ (* 3/8 (cos x)) 3/8)
(fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64))
3/8
#s(literal 3/8 binary64)
(cos x)
(cos.f64 x)

localize198.0ms (1.8%)

Memory
-18.6MiB live, 297.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64)))
✓accuracy99.2%
(fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64))
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.6%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓accuracy84.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓accuracy74.9%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓accuracy99.8%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
✓accuracy99.8%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓accuracy99.4%
(*.f64 x #s(literal 1/18 binary64))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Samples
86.0ms59×2valid
51.0ms149×0valid
14.0ms39×1valid
7.0ms9×3valid
Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-cos: 23.0ms (24.7% of total)
ival-mult: 14.0ms (15% of total)
ival-sin: 12.0ms (12.9% of total)
const: 11.0ms (11.8% of total)
ival-div: 11.0ms (11.8% of total)
adjust: 10.0ms (10.7% of total)
ival-tan: 6.0ms (6.4% of total)
ival-add: 4.0ms (4.3% of total)
ival-sub: 2.0ms (2.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
27.3MiB live, 27.3MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt (/ (tan (/ x 2)) 3/4)>
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (* x (+ (* x (* x 1/18)) 2/3))>
#<alt (+ (* x (* x 1/18)) 2/3)>
#<alt (* x 1/18)>
#<alt (* 1/2 (/ (sin (* 1/2 x)) 3/8))>
#<alt (/ (sin (* 1/2 x)) 3/8)>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (/ (* (- 1 (cos x)) 4/3) (sin x))>
#<alt (* (- 1 (cos x)) 4/3)>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (/ (* 1/2 (sin x)) (+ (* 3/8 (cos x)) 3/8))>
#<alt (* 1/2 (sin x))>
#<alt (sin x)>
#<alt (+ (* 3/8 (cos x)) 3/8)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt 2/3>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* -1/36 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))>
#<alt (* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))>
#<alt (* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))>
#<alt (* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))>
#<alt (* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))>
#<alt (* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))>
#<alt (* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))>
#<alt (* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/12 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12))))>
#<alt (* 1/2 (sin x))>
#<alt (* 1/2 (sin x))>
#<alt (* 1/2 (sin x))>
#<alt (* 1/2 (sin x))>
#<alt (* 1/2 (sin x))>
#<alt (* 1/2 (sin x))>
#<alt (* 1/2 (sin x))>
#<alt (* 1/2 (sin x))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt 3/4>
#<alt (+ 3/4 (* -3/16 (pow x 2)))>
#<alt (+ 3/4 (* (pow x 2) (- (* 1/64 (pow x 2)) 3/16)))>
#<alt (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/64 (* -1/1920 (pow x 2)))) 3/16)))>
#<alt (+ 3/8 (* 3/8 (cos x)))>
#<alt (+ 3/8 (* 3/8 (cos x)))>
#<alt (+ 3/8 (* 3/8 (cos x)))>
#<alt (+ 3/8 (* 3/8 (cos x)))>
#<alt (+ 3/8 (* 3/8 (cos x)))>
#<alt (+ 3/8 (* 3/8 (cos x)))>
#<alt (+ 3/8 (* 3/8 (cos x)))>
#<alt (+ 3/8 (* 3/8 (cos x)))>
Calls

54 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/ (tan (/ x 2)) 3/4)
1.0ms
x
@inf
(/ (* 1/2 (sin x)) (+ (* 3/8 (cos x)) 3/8))
1.0ms
x
@-inf
(/ (* 1/2 (sin x)) (+ (* 3/8 (cos x)) 3/8))
1.0ms
x
@-inf
(/ (tan (/ x 2)) 3/4)
1.0ms
x
@inf
(* x (+ (* x (* x 1/18)) 2/3))

rewrite397.0ms (3.5%)

Memory
5.3MiB live, 601.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 382×*-lowering-*.f32
4 382×*-lowering-*.f64
4 160×accelerator-lowering-fma.f32
4 160×accelerator-lowering-fma.f64
3 110×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02989
114087
277987
3636587
0824683
Stop Event
1×iter limit
1×node limit
Counts
18 → 1 249
Calls
Call 1
Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
(* x (+ (* x (* x 1/18)) 2/3))
(+ (* x (* x 1/18)) 2/3)
(* x 1/18)
(* 1/2 (/ (sin (* 1/2 x)) 3/8))
(/ (sin (* 1/2 x)) 3/8)
(sin (* 1/2 x))
(* 1/2 x)
(/ (* (- 1 (cos x)) 4/3) (sin x))
(* (- 1 (cos x)) 4/3)
(- 1 (cos x))
(cos x)
(/ (* 1/2 (sin x)) (+ (* 3/8 (cos x)) 3/8))
(* 1/2 (sin x))
(sin x)
(+ (* 3/8 (cos x)) 3/8)
Outputs
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal -4/3 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/512 binary64))) (*.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/512 binary64))) (fma.f64 (cos.f64 x) #s(literal -9/64 binary64) #s(literal 9/64 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/512 binary64))) (fma.f64 (cos.f64 x) #s(literal -9/64 binary64) #s(literal 9/64 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/512 binary64))) (*.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -9/64 binary64))) (*.f64 #s(literal 3/8 binary64) (cos.f64 x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -9/64 binary64))) #s(literal -3/8 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
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(/.f64 (*.f64 (fma.f64 #s(literal 19683/134217728 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)) #s(literal 19683/134217728 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 9/64 binary64)) #s(literal 9/64 binary64)) #s(literal 9/64 binary64)))) (-.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 729/262144 binary64) #s(literal 729/262144 binary64)) (pow.f64 (*.f64 (cos.f64 x) #s(literal 9/64 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 729/262144 binary64) #s(literal -729/262144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 9/64 binary64)) #s(literal 9/64 binary64)) #s(literal 9/64 binary64)))) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -27/512 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 729/262144 binary64) #s(literal -729/262144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal -3/8 binary64)))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 81/4096 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 81/4096 binary64) #s(literal 81/4096 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 81/4096 binary64) #s(literal -81/4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal -3/8 binary64)))) (fma.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 9/64 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3/8 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3/8 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 x) #s(literal -3/8 binary64) #s(literal -3/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 x) #s(literal -3/8 binary64) #s(literal -3/8 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 3/8 binary64) (cos.f64 x))) (+.f64 #s(literal 9/64 binary64) (*.f64 #s(literal -9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64)))
(*.f64 (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 27/512 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 9/64 binary64)) #s(literal 9/64 binary64)) #s(literal 9/64 binary64))))
(*.f64 (fma.f64 #s(literal 27/512 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/512 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 9/64 binary64)) #s(literal 9/64 binary64)) #s(literal 9/64 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -9/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal -3/8 binary64))))
(*.f64 (fma.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -9/64 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal -3/8 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 x) #s(literal -3/8 binary64) #s(literal -3/8 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 27/512 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/512 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 9/64 binary64)) #s(literal 9/64 binary64)) #s(literal 9/64 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -9/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -3/8 binary64) #s(literal 3/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 9/64 binary64)) #s(literal 9/64 binary64)) #s(literal 9/64 binary64))) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/512 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal -3/8 binary64))) (fma.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -9/64 binary64)))
(*.f64 (+.f64 #s(literal 9/64 binary64) (*.f64 #s(literal -9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 3/8 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (fma.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -9/64 binary64)) (fma.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -9/64 binary64))) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 27/512 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/512 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 729/262144 binary64) (pow.f64 (fma.f64 (cos.f64 x) #s(literal -9/64 binary64) #s(literal 9/64 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 x) #s(literal -9/64 binary64) #s(literal 9/64 binary64)) (-.f64 (fma.f64 (cos.f64 x) #s(literal -9/64 binary64) #s(literal 9/64 binary64)) (*.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 #s(literal 3/8 binary64) (cos.f64 x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 27/512 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 27/512 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 3/8 binary64) (cos.f64 x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal -9/64 binary64) #s(literal 9/64 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (cos.f64 x) #s(literal -9/64 binary64) #s(literal 9/64 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -9/64 binary64)) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -27/512 binary64))) (fma.f64 #s(literal 9/64 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) #s(literal 9/64 binary64) #s(literal 9/64 binary64))))

simplify538.0ms (4.8%)

Memory
21.9MiB live, 834.0MiB allocated
Algorithm
1×egg-herbie
Rules
16 548×accelerator-lowering-fma.f32
16 548×accelerator-lowering-fma.f64
5 452×+-lowering-+.f64
5 452×+-lowering-+.f32
5 168×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02321474
16521468
215501468
328741468
454181468
567641468
678981468
080531356
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 2/3 x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/12 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12))))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 (sin x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
3/4
(+ 3/4 (* -3/16 (pow x 2)))
(+ 3/4 (* (pow x 2) (- (* 1/64 (pow x 2)) 3/16)))
(+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/64 (* -1/1920 (pow x 2)))) 3/16)))
(+ 3/8 (* 3/8 (cos x)))
(+ 3/8 (* 3/8 (cos x)))
(+ 3/8 (* 3/8 (cos x)))
(+ 3/8 (* 3/8 (cos x)))
(+ 3/8 (* 3/8 (cos x)))
(+ 3/8 (* 3/8 (cos x)))
(+ 3/8 (* 3/8 (cos x)))
(+ 3/8 (* 3/8 (cos x)))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
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(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/30240 binary64)) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (/ (sin x) (+ 3/8 (* 3/8 (cos x)))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/12 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/10080 binary64)) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (sin x))
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
(* 1/2 (sin x))
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
(* 1/2 (sin x))
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
(* 1/2 (sin x))
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
(* 1/2 (sin x))
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
(* 1/2 (sin x))
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
(* 1/2 (sin x))
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
(* 1/2 (sin x))
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
3/4
#s(literal 3/4 binary64)
(+ 3/4 (* -3/16 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -3/16 binary64)) #s(literal 3/4 binary64))
(+ 3/4 (* (pow x 2) (- (* 1/64 (pow x 2)) 3/16)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -3/16 binary64)) #s(literal 3/4 binary64))
(+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/64 (* -1/1920 (pow x 2)))) 3/16)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/1920 binary64) #s(literal 1/64 binary64))) #s(literal -3/16 binary64)) #s(literal 3/4 binary64))
(+ 3/8 (* 3/8 (cos x)))
(fma.f64 (cos.f64 x) #s(literal 3/8 binary64) #s(literal 3/8 binary64))
(+ 3/8 (* 3/8 (cos x)))
(fma.f64 (cos.f64 x) #s(literal 3/8 binary64) #s(literal 3/8 binary64))
(+ 3/8 (* 3/8 (cos x)))
(fma.f64 (cos.f64 x) #s(literal 3/8 binary64) #s(literal 3/8 binary64))
(+ 3/8 (* 3/8 (cos x)))
(fma.f64 (cos.f64 x) #s(literal 3/8 binary64) #s(literal 3/8 binary64))
(+ 3/8 (* 3/8 (cos x)))
(fma.f64 (cos.f64 x) #s(literal 3/8 binary64) #s(literal 3/8 binary64))
(+ 3/8 (* 3/8 (cos x)))
(fma.f64 (cos.f64 x) #s(literal 3/8 binary64) #s(literal 3/8 binary64))
(+ 3/8 (* 3/8 (cos x)))
(fma.f64 (cos.f64 x) #s(literal 3/8 binary64) #s(literal 3/8 binary64))
(+ 3/8 (* 3/8 (cos x)))
(fma.f64 (cos.f64 x) #s(literal 3/8 binary64) #s(literal 3/8 binary64))

eval313.0ms (2.8%)

Memory
-16.7MiB live, 499.7MiB allocated
Compiler

Compiled 26 859 to 2 380 computations (91.1% saved)

prune298.0ms (2.6%)

Memory
31.1MiB live, 311.7MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1 497111 508
Fresh437
Picked325
Done011
Total1 504171 521
Accuracy
100.0%
Counts
1 521 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶59.2%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
▶59.0%
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
59.2%
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
99.3%
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
▶42.5%
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64)) #s(literal 8/27 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
43.8%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
✓99.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64)))
▶99.8%
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
99.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))))
58.2%
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
99.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -3/8 binary64) #s(literal -3/8 binary64))) (sin.f64 x))
59.1%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
99.5%
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
✓43.3%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
▶43.3%
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
✓43.7%
(*.f64 #s(literal 2/3 binary64) x)
43.4%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
Compiler

Compiled 340 to 241 computations (29.1% saved)

simplify28.0ms (0.2%)

Memory
-21.5MiB live, 55.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
✓cost-diff0
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓cost-diff128
(+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
✓cost-diff0
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
✓cost-diff0
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64)) #s(literal 8/27 binary64))
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64)) #s(literal 8/27 binary64)))
✓cost-diff0
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64)) #s(literal 8/27 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
✓cost-diff128
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64))
✓cost-diff0
(*.f64 x #s(literal -1/36 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Rules
594×*-lowering-*.f32
594×*-lowering-*.f64
300×accelerator-lowering-fma.f32
300×accelerator-lowering-fma.f64
298×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038179
183167
2160167
3306167
4328167
5379167
6542167
7560167
8594167
0594153
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (tan (* x 1/2)) 3/4)
(tan (* x 1/2))
(* x 1/2)
x
1/2
3/4
(* x (+ (* x (* x -1/36)) 2/3))
x
(+ (* x (* x -1/36)) 2/3)
(* x -1/36)
-1/36
2/3
(/ (* x (+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27)) (+ (* (* x x) (- (* (* x x) 1/324) 1/27)) 4/9))
(* x (+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27))
x
(+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27)
(* x (* x x))
(* x x)
(* (* x (* x x)) 1/5832)
1/5832
8/27
(+ (* (* x x) (- (* (* x x) 1/324) 1/27)) 4/9)
(- (* (* x x) 1/324) 1/27)
(* (* x x) 1/324)
1/324
1/27
4/9
(/ (+ (* (cos x) -4/3) 4/3) (sin x))
(+ (* (cos x) -4/3) 4/3)
(cos x)
x
-4/3
4/3
(sin x)
(/ (+ (* -4/3 (cos x)) 4/3) (sin x))
(+ (* -4/3 (cos x)) 4/3)
(* -4/3 (cos x))
-4/3
(cos x)
x
4/3
(sin x)
Outputs
(/ (tan (* x 1/2)) 3/4)
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan (* x 1/2))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
3/4
#s(literal 3/4 binary64)
(* x (+ (* x (* x -1/36)) 2/3))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
x
(+ (* x (* x -1/36)) 2/3)
(fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))
(* x -1/36)
(*.f64 x #s(literal -1/36 binary64))
-1/36
#s(literal -1/36 binary64)
2/3
#s(literal 2/3 binary64)
(/ (* x (+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27)) (+ (* (* x x) (- (* (* x x) 1/324) 1/27)) 4/9))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64))) #s(literal 8/27 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/324 binary64)) #s(literal -1/27 binary64)) #s(literal 4/9 binary64)))
(* x (+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64))) #s(literal 8/27 binary64)))
x
(+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27)
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64))) #s(literal 8/27 binary64))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(* (* x (* x x)) 1/5832)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64))
1/5832
#s(literal 1/5832 binary64)
8/27
#s(literal 8/27 binary64)
(+ (* (* x x) (- (* (* x x) 1/324) 1/27)) 4/9)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/324 binary64)) #s(literal -1/27 binary64)) #s(literal 4/9 binary64))
(- (* (* x x) 1/324) 1/27)
(fma.f64 x (*.f64 x #s(literal 1/324 binary64)) #s(literal -1/27 binary64))
(* (* x x) 1/324)
(*.f64 (*.f64 x x) #s(literal 1/324 binary64))
1/324
#s(literal 1/324 binary64)
1/27
#s(literal 1/27 binary64)
4/9
#s(literal 4/9 binary64)
(/ (+ (* (cos x) -4/3) 4/3) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(+ (* (cos x) -4/3) 4/3)
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(cos x)
(cos.f64 x)
x
-4/3
#s(literal -4/3 binary64)
4/3
#s(literal 4/3 binary64)
(sin x)
(sin.f64 x)
(/ (+ (* -4/3 (cos x)) 4/3) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(+ (* -4/3 (cos x)) 4/3)
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(* -4/3 (cos x))
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
-4/3
#s(literal -4/3 binary64)
(cos x)
(cos.f64 x)
x
4/3
#s(literal 4/3 binary64)
(sin x)
(sin.f64 x)

localize289.0ms (2.6%)

Memory
6.0MiB live, 399.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.7%
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
✓accuracy84.6%
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓accuracy74.7%
(+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(sin.f64 x)
✓accuracy84.6%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
✓accuracy74.8%
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64))
✓accuracy99.7%
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64)) #s(literal 8/27 binary64)))
✓accuracy99.0%
(*.f64 (*.f64 x x) #s(literal 1/324 binary64))
✓accuracy58.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64)) #s(literal 8/27 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))
✓accuracy99.8%
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
✓accuracy99.4%
(*.f64 x #s(literal -1/36 binary64))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓accuracy99.8%
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Samples
96.0ms149×0valid
52.0ms38×1valid
49.0ms56×2valid
25.0ms13×3valid
Compiler

Compiled 188 to 40 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 188.0ms
const: 72.0ms (38.3% of total)
ival-mult: 44.0ms (23.4% of total)
ival-cos: 17.0ms (9% of total)
ival-sin: 16.0ms (8.5% of total)
adjust: 10.0ms (5.3% of total)
ival-add: 10.0ms (5.3% of total)
ival-div: 9.0ms (4.8% of total)
ival-tan: 7.0ms (3.7% of total)
ival-sub: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-8.6MiB live, 27.5MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (/ (tan (* x 1/2)) 3/4)>
#<alt (tan (* x 1/2))>
#<alt (* x 1/2)>
#<alt (* x (+ (* x (* x -1/36)) 2/3))>
#<alt (+ (* x (* x -1/36)) 2/3)>
#<alt (* x -1/36)>
#<alt (- (* (* x x) 1/324) 1/27)>
#<alt (/ (* x (+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27)) (+ (* (* x x) (- (* (* x x) 1/324) 1/27)) 4/9))>
#<alt (* x (+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27))>
#<alt (+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27)>
#<alt (/ (+ (* (cos x) -4/3) 4/3) (sin x))>
#<alt (+ (* (cos x) -4/3) 4/3)>
#<alt (cos x)>
#<alt (sin x)>
#<alt (+ (* -4/3 (cos x)) 4/3)>
#<alt (/ (+ (* -4/3 (cos x)) 4/3) (sin x))>
#<alt (* -4/3 (cos x))>
#<alt (* (* x x) 1/324)>
#<alt (* (* x (* x x)) 1/5832)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* -1/36 (pow x 2))))>
#<alt (* x (+ 2/3 (* -1/36 (pow x 2))))>
#<alt (* x (+ 2/3 (* -1/36 (pow x 2))))>
#<alt (* -1/36 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/36))>
#<alt (* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/36))>
#<alt (* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/36))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/36 (* 2/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/36 (* 2/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/36 (* 2/3 (/ 1 (pow x 2))))))>
#<alt 2/3>
#<alt (+ 2/3 (* -1/36 (pow x 2)))>
#<alt (+ 2/3 (* -1/36 (pow x 2)))>
#<alt (+ 2/3 (* -1/36 (pow x 2)))>
#<alt (* -1/36 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/36))>
#<alt (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/36))>
#<alt (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/36))>
#<alt (* -1/36 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/36))>
#<alt (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/36))>
#<alt (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/36))>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt -1/27>
#<alt (- (* 1/324 (pow x 2)) 1/27)>
#<alt (- (* 1/324 (pow x 2)) 1/27)>
#<alt (- (* 1/324 (pow x 2)) 1/27)>
#<alt (* 1/324 (pow x 2))>
#<alt (* (pow x 2) (- 1/324 (* 1/27 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/324 (* 1/27 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/324 (* 1/27 (/ 1 (pow x 2)))))>
#<alt (* 1/324 (pow x 2))>
#<alt (* (pow x 2) (- 1/324 (* 1/27 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/324 (* 1/27 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/324 (* 1/27 (/ 1 (pow x 2)))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 8/27 x)>
#<alt (* x (+ 8/27 (* 1/5832 (pow x 6))))>
#<alt (* x (+ 8/27 (* 1/5832 (pow x 6))))>
#<alt (* x (+ 8/27 (* 1/5832 (pow x 6))))>
#<alt (* 1/5832 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))>
#<alt (* 1/5832 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))>
#<alt 8/27>
#<alt (+ 8/27 (* 1/5832 (pow x 6)))>
#<alt (+ 8/27 (* 1/5832 (pow x 6)))>
#<alt (+ 8/27 (* 1/5832 (pow x 6)))>
#<alt (* 1/5832 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))>
#<alt (* 1/5832 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt -4/3>
#<alt (- (* 2/3 (pow x 2)) 4/3)>
#<alt (- (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) 4/3)>
#<alt (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) 4/3)>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* 1/324 (pow x 2))>
#<alt (* 1/324 (pow x 2))>
#<alt (* 1/324 (pow x 2))>
#<alt (* 1/324 (pow x 2))>
#<alt (* 1/324 (pow x 2))>
#<alt (* 1/324 (pow x 2))>
#<alt (* 1/324 (pow x 2))>
#<alt (* 1/324 (pow x 2))>
#<alt (* 1/324 (pow x 2))>
#<alt (* 1/324 (pow x 2))>
#<alt (* 1/324 (pow x 2))>
#<alt (* 1/324 (pow x 2))>
#<alt (* 1/5832 (pow x 3))>
#<alt (* 1/5832 (pow x 3))>
#<alt (* 1/5832 (pow x 3))>
#<alt (* 1/5832 (pow x 3))>
#<alt (* 1/5832 (pow x 3))>
#<alt (* 1/5832 (pow x 3))>
#<alt (* 1/5832 (pow x 3))>
#<alt (* 1/5832 (pow x 3))>
#<alt (* 1/5832 (pow x 3))>
#<alt (* 1/5832 (pow x 3))>
#<alt (* 1/5832 (pow x 3))>
#<alt (* 1/5832 (pow x 3))>
Calls

57 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (* x (+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27)) (+ (* (* x x) (- (* (* x x) 1/324) 1/27)) 4/9))
1.0ms
x
@0
(/ (* x (+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27)) (+ (* (* x x) (- (* (* x x) 1/324) 1/27)) 4/9))
1.0ms
x
@-inf
(/ (+ (* (cos x) -4/3) 4/3) (sin x))
1.0ms
x
@inf
(/ (+ (* (cos x) -4/3) 4/3) (sin x))
1.0ms
x
@inf
(* x (+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27))

rewrite476.0ms (4.2%)

Memory
-21.9MiB live, 689.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 840×accelerator-lowering-fma.f32
7 840×accelerator-lowering-fma.f64
5 866×*-lowering-*.f32
5 866×*-lowering-*.f64
3 726×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038138
1196126
21184126
08719114
Stop Event
1×iter limit
1×node limit
Counts
19 → 680
Calls
Call 1
Inputs
(/ (tan (* x 1/2)) 3/4)
(tan (* x 1/2))
(* x 1/2)
(* x (+ (* x (* x -1/36)) 2/3))
(+ (* x (* x -1/36)) 2/3)
(* x -1/36)
(- (* (* x x) 1/324) 1/27)
(/ (* x (+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27)) (+ (* (* x x) (- (* (* x x) 1/324) 1/27)) 4/9))
(* x (+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27))
(+ (* (* x (* x x)) (* (* x (* x x)) 1/5832)) 8/27)
(/ (+ (* (cos x) -4/3) 4/3) (sin x))
(+ (* (cos x) -4/3) 4/3)
(cos x)
(sin x)
(+ (* -4/3 (cos x)) 4/3)
(/ (+ (* -4/3 (cos x)) 4/3) (sin x))
(* -4/3 (cos x))
(* (* x x) 1/324)
(* (* x (* x x)) 1/5832)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)))
(neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -4/3 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (*.f64 x #s(literal 2/3 binary64)))
(+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/36 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))))
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(*.f64 (/.f64 (fma.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal -4/3 binary64))))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -64/27 binary64) #s(literal 64/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 16/9 binary64) (*.f64 (cos.f64 x) #s(literal 16/9 binary64))))))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal -4/3 binary64))))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -64/27 binary64) #s(literal 64/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 16/9 binary64) (*.f64 (cos.f64 x) #s(literal 16/9 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (fma.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal -4/3 binary64))))
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/324 binary64))
(*.f64 #s(literal 1/324 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/324 binary64)) x)
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5832 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/5832 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64))
(*.f64 #s(literal 1/5832 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/5832 binary64)) x)
(*.f64 (*.f64 #s(literal 1/5832 binary64) x) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/5832 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))

simplify510.0ms (4.5%)

Memory
21.0MiB live, 708.9MiB allocated
Algorithm
1×egg-herbie
Rules
15 764×accelerator-lowering-fma.f32
15 764×accelerator-lowering-fma.f64
4 614×*-lowering-*.f32
4 614×*-lowering-*.f64
2 966×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01551590
14241584
210541584
330401584
457811584
577931584
081501444
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(* x (+ 2/3 (* -1/36 (pow x 2))))
(* x (+ 2/3 (* -1/36 (pow x 2))))
(* -1/36 (pow x 3))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/36))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/36))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/36))
(* -1/36 (pow x 3))
(* -1 (* (pow x 3) (- 1/36 (* 2/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/36 (* 2/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/36 (* 2/3 (/ 1 (pow x 2))))))
2/3
(+ 2/3 (* -1/36 (pow x 2)))
(+ 2/3 (* -1/36 (pow x 2)))
(+ 2/3 (* -1/36 (pow x 2)))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/36))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/36))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/36))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/36))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/36))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/36))
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
-1/27
(- (* 1/324 (pow x 2)) 1/27)
(- (* 1/324 (pow x 2)) 1/27)
(- (* 1/324 (pow x 2)) 1/27)
(* 1/324 (pow x 2))
(* (pow x 2) (- 1/324 (* 1/27 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/324 (* 1/27 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/324 (* 1/27 (/ 1 (pow x 2)))))
(* 1/324 (pow x 2))
(* (pow x 2) (- 1/324 (* 1/27 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/324 (* 1/27 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/324 (* 1/27 (/ 1 (pow x 2)))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 8/27 x)
(* x (+ 8/27 (* 1/5832 (pow x 6))))
(* x (+ 8/27 (* 1/5832 (pow x 6))))
(* x (+ 8/27 (* 1/5832 (pow x 6))))
(* 1/5832 (pow x 7))
(* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(* 1/5832 (pow x 7))
(* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
8/27
(+ 8/27 (* 1/5832 (pow x 6)))
(+ 8/27 (* 1/5832 (pow x 6)))
(+ 8/27 (* 1/5832 (pow x 6)))
(* 1/5832 (pow x 6))
(* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(* 1/5832 (pow x 6))
(* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6)))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
-4/3
(- (* 2/3 (pow x 2)) 4/3)
(- (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) 4/3)
(- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) 4/3)
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* 1/324 (pow x 2))
(* 1/324 (pow x 2))
(* 1/324 (pow x 2))
(* 1/324 (pow x 2))
(* 1/324 (pow x 2))
(* 1/324 (pow x 2))
(* 1/324 (pow x 2))
(* 1/324 (pow x 2))
(* 1/324 (pow x 2))
(* 1/324 (pow x 2))
(* 1/324 (pow x 2))
(* 1/324 (pow x 2))
(* 1/5832 (pow x 3))
(* 1/5832 (pow x 3))
(* 1/5832 (pow x 3))
(* 1/5832 (pow x 3))
(* 1/5832 (pow x 3))
(* 1/5832 (pow x 3))
(* 1/5832 (pow x 3))
(* 1/5832 (pow x 3))
(* 1/5832 (pow x 3))
(* 1/5832 (pow x 3))
(* 1/5832 (pow x 3))
(* 1/5832 (pow x 3))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* -1/36 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* -1/36 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/36))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/36))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/36))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* -1 (* (pow x 3) (- 1/36 (* 2/3 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
(* -1 (* (pow x 3) (- 1/36 (* 2/3 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
(* -1 (* (pow x 3) (- 1/36 (* 2/3 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
2/3
#s(literal 2/3 binary64)
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(* -4/3 (cos x))
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(* -4/3 (cos x))
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(* -4/3 (cos x))
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(* -4/3 (cos x))
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(* -4/3 (cos x))
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(* -4/3 (cos x))
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(* -4/3 (cos x))
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(* 1/324 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(* 1/324 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(* 1/324 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(* 1/324 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(* 1/324 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(* 1/324 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(* 1/324 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(* 1/324 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(* 1/324 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(* 1/324 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(* 1/324 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(* 1/324 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/324 binary64)))
(* 1/5832 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5832 binary64))))
(* 1/5832 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5832 binary64))))
(* 1/5832 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5832 binary64))))
(* 1/5832 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5832 binary64))))
(* 1/5832 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5832 binary64))))
(* 1/5832 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5832 binary64))))
(* 1/5832 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5832 binary64))))
(* 1/5832 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5832 binary64))))
(* 1/5832 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5832 binary64))))
(* 1/5832 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5832 binary64))))
(* 1/5832 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5832 binary64))))
(* 1/5832 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5832 binary64))))

eval125.0ms (1.1%)

Memory
-10.9MiB live, 326.7MiB allocated
Compiler

Compiled 28 988 to 1 883 computations (93.5% saved)

prune112.0ms (1%)

Memory
7.3MiB live, 344.2MiB allocated
Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New92319942
Fresh279
Picked235
Done033
Total92732959
Accuracy
100.0%
Counts
959 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.3%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64) (*.f64 x #s(literal 2/3 binary64)))
43.3%
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 x #s(literal 2/3 binary64)))
✓59.2%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
27.5%
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x)))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/36 binary64))))))
59.2%
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
42.4%
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/46656 binary64)) #s(literal 8/27 binary64)) x) (+.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/54 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x)))))
42.7%
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))
99.3%
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
43.8%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
44.0%
(/.f64 (*.f64 x #s(literal 8/27 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
✓99.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64)))
✓99.8%
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
43.4%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))))
42.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) x)))
59.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
99.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -3/8 binary64) #s(literal -3/8 binary64))) (sin.f64 x))
59.1%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
42.7%
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64))))
27.5%
(*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))))
99.5%
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
43.3%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
✓43.3%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓43.3%
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
42.8%
(*.f64 x (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64))))
42.7%
(*.f64 x (/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
42.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (-.f64 #s(literal 4/9 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x))))))
42.4%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -1/54 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/46656 binary64)) #s(literal 8/27 binary64)))))
42.8%
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))))
3.4%
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
✓43.7%
(*.f64 #s(literal 2/3 binary64) x)
43.4%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
Compiler

Compiled 1 422 to 551 computations (61.3% saved)

regimes47.0ms (0.4%)

Memory
4.8MiB live, 124.6MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 x #s(literal 8/27 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
(*.f64 x (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (-.f64 #s(literal 4/9 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64)) #s(literal 8/27 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x)))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/36 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/46656 binary64)) #s(literal 8/27 binary64)) x) (+.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/54 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -1/54 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/46656 binary64)) #s(literal 8/27 binary64)))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -3/8 binary64) #s(literal -3/8 binary64))) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) (cos.f64 x) #s(literal 3/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Outputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Calls

2 calls:

22.0ms
x
21.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes53.0ms (0.5%)

Memory
-7.1MiB live, 32.3MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 x #s(literal 8/27 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
(*.f64 x (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (-.f64 #s(literal 4/9 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64)) #s(literal 8/27 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x)))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/36 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/46656 binary64)) #s(literal 8/27 binary64)) x) (+.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/54 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -1/54 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/46656 binary64)) #s(literal 8/27 binary64)))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
Outputs
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
Calls

2 calls:

44.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
8.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes25.0ms (0.2%)

Memory
-8.1MiB live, 31.2MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 x #s(literal 8/27 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
(*.f64 x (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -4/9 binary64)) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (-.f64 #s(literal 4/9 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64)) #s(literal 8/27 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x)))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/36 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/46656 binary64)) #s(literal 8/27 binary64)) x) (+.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/54 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)) #s(literal -1/54 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/46656 binary64)) #s(literal 8/27 binary64)))))
Outputs
(/.f64 (*.f64 x #s(literal 8/27 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
Calls

2 calls:

17.0ms
x
7.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
44.0%1x
44.0%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes8.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))))
Outputs
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
Calls

2 calls:

4.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
4.0ms
x
Results
AccuracySegmentsBranch
43.8%1x
43.8%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes35.0ms (0.3%)

Memory
-29.3MiB live, 10.1MiB allocated
Accuracy

Total -26.4b remaining (-73.1%)

Threshold costs -26.4b (-73.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 2/3 binary64)))
Outputs
(*.f64 #s(literal 2/3 binary64) x)
Calls

2 calls:

32.0ms
x
3.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
43.7%1x
43.7%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify8.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
4×+-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02136
12836
23336
33536
43636
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 x #s(literal 8/27 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(*.f64 #s(literal 2/3 binary64) x)
Outputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 (*.f64 x #s(literal 8/27 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/324 binary64)) #s(literal 1/27 binary64)) #s(literal 4/9 binary64)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 2/3 binary64))

soundness1.6s (14.4%)

Memory
11.1MiB live, 1 055.5MiB allocated
Rules
18 506×accelerator-lowering-fma.f32
18 506×accelerator-lowering-fma.f64
16 548×accelerator-lowering-fma.f32
16 548×accelerator-lowering-fma.f64
15 764×accelerator-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01234
12728
210828
361924
0490724
01551590
14241584
210541584
330401584
457811584
577931584
081501444
024110
110998
274292
3584792
0870892
090414
1252414
2600408
31799408
43352408
54719408
65032408
75327408
85949408
97813408
08080384
02321474
16521468
215501468
328741468
454181468
567641468
678981468
080531356
02421470
16451470
215831464
328821464
448021464
550701464
654631464
763471464
080131374
02989
114087
277987
3636587
0824683
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 92 to 63 computations (31.5% saved)

preprocess55.0ms (0.5%)

Memory
-6.0MiB live, 150.6MiB allocated
Remove

(negabs x)

Compiler

Compiled 184 to 122 computations (33.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...